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## Texas Go Math Grade 5 Lesson 13.3 Answer Key Customary Capacity

**Unlock the Problem**

Mara has a can of paint with 3 cups of purple paint in it. She also has a bucket with a capacity of 26 fluid ounces. Will the bucket hold all of the paint Mara has?

The capacity of a container is the amount the container can hold.

A) What capacity does Mara need to convert?

Answer:

The capacity that Mara needs to convert is: Fluid ounces (fl oz)

B)After Mara converts the units, what does she need to do next?

Answer:

After Mara converts the units, she needs to find whether the bucket holds all of the paint Mara has.

**Use a strip diagram to write an equation.**

Step 1

Convert 3 cups to fluid ounces.

Step 2

Since 24 fluid ounces is less than 26 fluid ounces, Mara’s bucket _can not hold all of the paint.

• What if Mara has 7 cups of green paint and a container filled with 64 fluid ounces of yellow paint? Which color paint does Mara have more of? Explain your reasoning.

Answer:

It is given that

Mara has 7 cups of green paint and a container filled with 64 fluid ounces of yellow paint

Now,

We know that,

1 cup = 8 fluid ounces

So,

The number of fluid ounces of green paint Mara has = 7 cups

= 7 × 8 fluid ounces

= 56 fluid ounces

So,

56 fluid ounces < 64 fluid ounces

Hence, from the above,

We can conclude that

Mara has more yellow paint

Example

Coral made 32 pints of fruit punch for a party. She needs to transport the punch in 1-gallon containers. How many containers does Coral need?

To convert a smaller unit to a larger unit, you need to divide. Sometimes you may need to convert more than once.

Convert 32 pints to gallons.

Step 1:

Write an equation to convert pints to pints quarts.

Step 2:

Write an equation to convert quarts to gallons.

So,

Coral needs 256 1-gallon containers to transport the punch.

**Share and Show**

Question 1.

**Use the picture to complete the statements and convert 3 quarts to pints.
**Answer:

The given figure is:

Now,

From the given figure,

We can observe that

1 quart = 2 pints

So,

2 pints is greater than 1 pint

So,

a. 1 quart = 2 pints

b. 1 quart is greater than 1 pint.

c. 3 qt __ pt in 1 qt = ___ pt

Answer:

We know that,

1 quart = 2 pints

So,

3 quarts = 3 × 2 pints

= 6 pints

Hence, from the above,

We can conclude that

**Math Talk**

**Mathematical Processes**

Explain how converting units of capacity is similar to converting units of length. How is it different?

Answer:

In the metric system, the base unit of length is the meter (m). The base unit of capacity is the liter (L). The same prefixes are used throughout the metric system. The prefix of each unit of measurement indicates how that unit relates to the base unit

**Convert.**

Question 2.

3 gal = __ pt

Answer:

The given unit is: Gallon

The converted unit must be: Pint

Now,

The given table is:

Now,

From the above table,

We can observe that

1 gallon = 4 quarts

1 quart = 2 pints

So,

1 gallon = 4 × 2 pints

= 8 pints

So,

3 gallons = 3 × 8 pints

= 24 pints

Hence, from the above,

We can conclude that

3 gal = 24 pt

Question 3.

5 qt = __ pt

Answer:

The given unit is: Quart

The converted unit must be: Pint

Now,

The given table is:

Now,

From the above table,

We can observe that

1 quart = 2 pints

So,

5 quarts = 5 × 2 pints

= 10 pints

Hence, from the above,

We can conclude that

5 qt = 10 pt

Question 4.

6 qt = __ c

Answer:

The given unit is: Quart

The converted unit must be: Cups

Now,

The given table is:

Now,

From the above table,

We can observe that

1 quart = 2 pints

1 pint = 2 cups

So,

1 quart = 2 × 2 cups

= 4 cups

So,

6 quarts = 6 × 4 cups

= 24 cups

Hence, from the above,

We can conclude that

6 qt = 24 c

**Problem Solving**

**Practice: Copy and Solve Compare. Write <, >, or =.**

Question 5.

28 c 14 pt

Answer:

The given units are: Cups, Pints

Now,

The given table is:

Now,

From the above table,

We can observe that

1 pint = 2 cups

So,

14 pints = 14 × 2 cups

= 28 cups

So,

28 c = 28 c

Hence, from the above,

We can conclude that

Question 6.

25 pt 13 qt

Answer:

The given units are: Pints, Quarts

Now,

The given table is:

Now,

From the above table,

We can observe that

1 quart = 2 pints

So,

13 quarts = 13 × 2 pints

= 26 pints

So,

25 pt < 26 pt

Hence, from the above,

We can conclude that

Question 7.

20 qt 80 c

Answer:

The given units are: Quarts, Cups

Now,

The given table is:

Now,

From the above table,

We can observe that

1 quart = 2 pints

1 pint = 2 cups

So,

1 quart = 2 × 2 cups

= 4 cups

So,

20 quarts = 20 × 4 cups

= 80 cups

So,

80 c = 80 c

Hence, from the above,

We can conclude that

Question 8.

**Write Math** Which of exercises 5-7 could you solve mentally? Explain your answer for one exercise.

Answer:

We can solve Exercise 5 and Exercise 6 mentally

Now,

We know that,

1 pint = 2 cups

1 quart = 2 pints

Hence,

In Exercise 5,

14 pints = 14 × 2 cups

= 28 cups

= 28 c

Hence,

In Exercise 6,

13 quarts = 13 × 2 pints

= 26 pints

= 26 pt

**Problem Solving**

**Show your work. For 9-11, use the table.**

Question 9.

**H.O.T.** **Use Graphs** Complete the table and make a graph showing the relationship between quarts and pints.

Answer:

The given table is:

Now,

We know that,

1 quart = 2 pints

So,

The completed table is:

So,

The ordered pairs (x, y) are:

(0, 0), (1, 2), (3, 6), (4, 8)

Now,

The representation of the given ordered pairs in the coordinate plane is:

Hence, from the above,

We can conclude that

The table and the graph that shows the complete relationship between the quarts and pints are:

Question 10.

**Multi-Step** Describe any pattern you notice in the pairs of numbers you graphed. Write a rule to describe the pattern.

Answer:

From Exercise 9,

We can observe that

The ordered pairs (x, y) for Quart – Pint relationship are:

(0, 0), (1, 2), (3, 6), (4, 8)

Now,

We know that,

1 quart = 2 pints

So,

The rule to describe the above pattern is:

The value of y is 2 times the value of x

Hence, from the above,

We can conclude that

The rule to describe the given pattern is:

The value of y is 2 times the value of x

Question 11.

What other pair of customary units of capacity have the same relationship as pints and quarts? Explain.

Answer:

The other pair of customary units of capacity that have the same relationship as pints and quarts are:

a. Cups

b. Gallons

**Daily Assessment Task**

**Fill in the bubble completely to show your answer.**

Question 12.

Malcolm the Monster needs 3 quarts of fried ant eggs to make his favorite shampoo. How many pints of fried ant eggs does Malcolm need?

(A) 3 pints

(B) 1\(\frac{1}{2}\) pints

(C) 6 pints

(D) 9\(\frac{1}{3}\) pints

Answer:

It is given that

Malcolm the Monster needs 3 quarts of fried ant eggs to make his favorite shampoo

Now,

We know that,

1 quart = 2 pints

So,

The number of pints of fried ant eggs does Malcolm need = 3 × 2 pints

= 6 pints

Hence, from the above,

We can conclude that

The number of pints of fried ant eggs does Malcolm need is:

Question 13.

Gina has a container that holds 32 fluid ounces of orange juice. What operation would she use to find how many gallons of orange juice the container holds?

(A) division

(B) addition

(C) multiplication

(D) subtraction

Answer:

It is given that

Gina has a container that holds 32 fluid ounces of orange juice

Now,

The given table is:

Now,

From the given table,

We can observe that

The “Gallon” is a larger unit when compared to “Fluid ounces”

Hence, from the above,

We can conclude that

The operation she would use to find how many gallons of orange juice the container holds is:

Question 14.

**Multi-Step** Marco has 10 quarts of water and 20 cups of milk. How much liquid does he have in all?

(A) 60 cups

(B) 15 cups

(C) 60 quarts

(B) 15 pints

Answer:

It is given that

Marco has 10 quarts of water and 20 cups of milk

Now,

The given table is:

Now,

From the given table,

We can observe that

The amount of liquid does Marco have in all = 10 quarts + 20 cups

= (10 × 2 × 2) + 20 (or) = (10 × 2) + 10 pints

= 60 cups (or) = 30 pints

Hence, from the above,

We can conclude that

The amount of liquid does Marco have in all is:

**Texas Test Prep**

Question 15.

Shelby made 5 quarts of juice for a picnic. How many cups of juice did Shelby make?

(A) 1 cup

(B) 5 cups

(C) 10 cups

(D) 20 cups

Answer:

It is given that

Shelby made 5 quarts of juice for a picnic

Now,

The given table is:

Now,

From the given table,

We can observe that

1 quant = 2 × 2 cups

= 4 cups

So,

The number of cups of juice that Shelby made = 5 × 4 cups

= 20 cups

Hence, from the above,

We can conclude that

The number of cups of juice that Shelby made is:

### Texas Go Math Grade 5 Lesson 13.3 Homework and Practice Answer Key

**Compare. Write <, >, or =.**

Question 1.

12c 98fl oz

Answer:

The given units are: Cups, Fluid ounces

Now,

The given table is:

Now,

From the above table,

We can observe that

1 cup = 8 fluid ounces

So,

12 cups = 12 × 8 fluid ounces

= 96 fluid ounces

So,

96 fl oz < 98 fl oz

Hence, from the above,

We can conclude that

Question 2.

34 c 18 pt

Answer:

The given units are: Cups, Pints

Now,

The given table is:

Now,

From the above table,

We can observe that

1 pint = 2 cups

So,

18 pints = 18 × 2 cups

= 36 cups

So,

34 c < 36 c

Hence, from the above,

We can conclude that

Question 3.

16 pt 8 qt

Answer:

The given units are: Pints, Quarts

Now,

The given table is:

Now,

From the above table,

We can observe that

1 quart = 2 pints

So,

8 quarts = 8 × 2 pints

= 16 pints

So,

16 pt = 16 pt

Hence, from the above,

We can conclude that

Question 4.

22 qt 90 c

Answer:

The given units are: Quarts, Cups

Now,

The given table is:

Now,

From the above table,

We can observe that

1 quart = 2 pints

1 pint = 2 cups

So,

22 quarts = 22 × 2 pints × 2 cups

= 88 cups

So,

88 c < 90 c

Hence, from the above,

We can conclude that

Question 5.

19 pt 9 qt

Answer:

The given units are: Pints, Quarts

Now,

The given table is:

Now,

From the above table,

We can observe that

1 quart = 2 pints

So,

9 quarts = 9 × 2 pints

= 18 pints

So,

19 pt > 18 pt

Hence, from the above,

We can conclude that

Question 6.

20 gal 75 qt

Answer:

The given units are: Gallons, Quarts

Now,

The given table is:

Now,

From the above table,

We can observe that

1 Gallon = 4 Quarts

So,

20 Gallons = 20 × 4 Quarts

= 80 Quarts

So,

80 qt > 75 qt

Hence, from the above,

We can conclude that

Question 7.

65 qt 32 gal

Answer:

The given units are: Quarts, Gallons

Now,

The given table is:

Now,

From the above table,

We can observe that

1 Gallon = 4 Quarts

So,

32 Gallons = 32 × 4 Quarts

= 128 Quarts

So,

65 qt < 128 qt

Hence, from the above,

We can conclude that

Question 8.

28 c 6 qt

Answer:

The given units are: Cups, Quarts

Now,

The given table is:

Now,

From the above table,

We can observe that

1 Quart = 2 pints

1 pint = 2 cups

So,

6 Quarts = 6 × 2 × 2 cups

= 24 cups

So,

28 c > 24 c

Hence, from the above,

We can conclude that

Question 9.

15 gal 120 pt

Answer:

The given units are: Gallons, Pints

Now,

The given table is:

Now,

From the above table,

We can observe that

1 Gallon = 4 Quarts

1 Quart = 2 pints

So,

15 Gallons = 15 × 4 × 2 pints

= 120 pints

So,

120 pt = 120 pt

Hence, from the above,

We can conclude that

Question 10.

Explain how you can solve exercise 3 mentally.

Answer:

It is given that

In Exercise 3,

The given comparison is:

Now,

We know that,

1 Quart = 2 pints

So,

8 Quarts = 8 × 2 pints

= 16 pints

Hence, from the above,

We can conclude that

By using the rule 1 Quart = 2 pints, we can solve Exercise 3 mentally

**Problem Solving**

Question 11.

Complete the table and make a graph showing the relationship between gallons and quarts.

Answer:

The given table is:

Now,

We know that,

1 Gallon = 4 Quarts

So,

The completed table is:

So,

The ordered pairs (x, y) are:

(0, 0), (1, 4), (2, 8), (3, 12), (4, 16)

Now,

The representation of the given ordered pairs in the coordinate plane is:

Hence, from the above,

We can conclude that

The table and the graph that shows the complete relationship between the gallons and quarts are:

Question 12.

Describe any pattern you notice in the pairs of numbers you graphed. Write a rule to describe the pattern.

Answer:

From Exercise 11,

We can observe that

The ordered pairs (x, y) for Gallons- Quart relationship are:

(0, 0), (1, 4), (2, 8), (3, 12), (4, 16)

Now,

We know that,

1 Gallon = 4 Quarts

So,

The rule to describe the above pattern is:

The value of y is 4 times the value of x

Hence, from the above,

We can conclude that

The rule to describe the given pattern is:

The value of y is 4 times the value of x

**Lesson Check**

**Fill in the bubble completely to show your answer.**

Question 13.

The frozen yogurt shop uses 1 pint of milk in each milkshake. How many milkshakes can be made with 24 quarts of milk?

(A) 96

(B) 12

(C) 6

(D) 48

Answer:

It is given that

The frozen yogurt shop uses 1 pint of milk in each milkshake

Now,

The given table is:

Now,

From the above table,

We can observe that

1 Quart = 2 pints

So,

The number of milkshakes can be made with 24 quarts of milk = 24 × 2

= 48 milkshakes

Hence, from the above,

We can conclude that

The number of milkshakes can be made with 24 quarts of milk is:

Question 14.

What if the yogurt shop has 8 gallons of milk? How many milkshakes can be made from 8 gallons with 1 pint of milk in each shake?

(A) 64

(B) 32

(C) 128

(D) 16

Answer:

It is given that

The yogurt shop has 8 gallons of milk

Now,

The given table is:

Now,

From the given table,

We can observe that

1 gallon = 4 Quarts

1 Quart = 2 pints

So,

The number of milkshakes that can be made from 8 gallons with 1 pint of milk in each shake = 8 × 4 × 2

= 64 milkshakes

Hence, from the above,

We can conclude that

The number of milkshakes that can be made from 8 gallons with 1 pint of milk in each shake is:

Question 15.

Allan needs 3 quarts of water to fill a pot for soup. How many times will he need to fill an 8-ounce measuring cup to fill the pot?

(A) 16

(B) 12

(C) 24

(D) 4

Answer:

It is given that

Allan needs 3 quarts of water to fill a pot for soup

Now,

The given table is:

Now,

From the above table,

We can observe that

1 Quart = 2 pints

1 pint = 2 cups

1 cup = 8 fluid ounces

So,

3 Quarts = 3 × 2 × 2 × 8

= 96 ounces

Now,

The number of times will Allan need to fill an 8-ounce measuring cup to fill the pot = \(\frac{96}{8}\)

= 12 times

Hence, from the above,

We can concldue that

The number of times will Allan need to fill an 8-ounce measuring cup to fill the pot is:

Question 16.

Noriko and her friends made 26 pints of lemonade to sell at the fundraiser. Which operation will Noriko use to find how many cups of lemonade they have to sell?

(A) addition

(B) subtraction

(C) multiplication

(D) division

Answer:

It is given that

Noriko and her friends made 26 pints of lemonade to sell at the fundraiser

Now,

The given table is:

Now,

From the above table,

We can observe that

1 pint = 2 cups

Hence, from the above,

We can conclude that

The operation Noriko will use to find how many cups of lemonade they have to sell is:

Question 17.

The paint store has 45 gallons of white paint in stock. How many quarts of white paint is this?

(A) 90 quarts

(B) 360 quarts

(C) 9 quarts

(D) 180 quarts

Answer:

It is given that

The paint store has 45 gallons of white paint in stock

Now,

We know that,

1 Gallon = 4 Quarts

So,

The number of quarts of paint is 45 gallons of paint = 45 × 4 quarts

= 180 quarts

Hence, from the above,

We can conclude that

The number of quarts of paint is 45 gallons of paint is:

Question 18.

Which expression can you use to convert 32 cups to pints?

(A) 32 ÷ 4

(B) 32 ÷ 2

(C) 32 × 2

(D) 32 × 4

Answer:

The given table is:

Now,

From the given table,

We can observe that

1 pint = 2 cups

So,

32 cups = 32 × \(\frac[1}{2}\) pint

Hence, from the above,

We can conclude that

The expression that you used to convert 32 cups to pints is:

Question 19.

**Multi-Step** The Holbrooks ordered 25 gallons of orange juice and 16 pints of cranberry juice for their restaurant. How much juice do they have in all?

(A) 57 gallons

(B) 29 gallons

(C) 216 pints

(D) 164 pints

Answer:

It is given that

The Holbrooks ordered 25 gallons of orange juice and 16 pints of cranberry juice for their restaurant

Now,

The given table is:

So,

The amount of total juice the Holbrooks have in all = (25 × 4 Quarts) + (16 × \(\frac{1}{2}\) Quarts)

= 100 + 8

= 108 Quarts

= \(\frac{108}{4}\) gallons

= 108 × 2

= 216 pints

= 27 gallons

Hence, from the above,

We can conclude that

The amount of total juice the Holbrooks have in all is:

Question 20.

**Multi-Step** Mrs. Sullivan calculates that she needs 12 gallons of paint to paint her house. She already has 8 quarts of the paint she needs. How many gallons of paint should she buy?

(A) 10 gallons

(B) 4 gallons

(C) 8 gallons

(D) 6 gallons

Answer:

It is given that

Mrs. Sullivan calculates that she needs 12 gallons of paint to paint her house. She already has 8 quarts of the paint she needs.

So,

The amount of gallons of paint should Mrs. Sullivan buy = 12 gallons – \(\frac{8}{4}\) gallons

= 12 – 2

= 10 gallons

Hence, from the above,

We can conclude that

The amount of gallons of paint should Mrs. Sullivan buy is: