All the solutions provided in **McGraw Hill Math Grade 5 Answer Key PDF Chapter 6 Lesson 11 Problem Solving** are as per the latest syllabus guidelines.

## McGraw-Hill Math Grade 5 Answer Key Chapter 6 Lesson 11 Problem Solving

**First draw a diagram and then solve.**

Question 1.

Ken and Pete built a bridge made of toothpicks. Ken worked 3\(\frac{1}{3}\) hours on the bridge, and Pete worked \(\frac{1}{2}\) hour more than Ken. How much total time did Pete spend working on the bridge?

Ken: __3\(\frac{1}{3}\)__ hours

Pete: Ken’s hours + __\(\frac{1}{2}\)__ hours

Total Time = _____________________

Answer:

The total number of hours spent working on the bridge is 3\(\frac{5}{6}\) hours.

Explanation:

Given that Ken and Pete built a bridge made of toothpicks. Ken worked 3\(\frac{1}{3}\) hours on the bridge, and Pete worked \(\frac{1}{2}\) hour more than Ken. So the total time did Pete spend working on the bridge is 3\(\frac{1}{3}\)+\(\frac{1}{2}\) which is

= \(\frac{10}{3}\) + \(\frac{1}{2}\)

= \(\frac{20+3}{6}\)

= \(\frac{23}{6}\)

= 3\(\frac{5}{6}\) hours.

Question 2.

At Taylor School. 145 fifth-grade students display their projects in the science fair. 15 more girls than boys display their projects. How many girls and how many boys have entered the science fair?

Answer:

65 boys and 80 girls.

Explanation:

Given that 145 fifth-grade students display their projects in the science fair and 15 more girls than boys display their projects. So the number of girls. So the number of boys and girls who have entered the science fair is 65 boys and 65+15 = 80 girls.