# Spectrum Math Grade 5 Chapter 5 Lesson 6 Answer Key Problem Solving

Practice with the help of Spectrum Math Grade 5 Answer Key Chapter 5 Lesson 5.6 Problem Solving regularly and improve your accuracy in solving questions.

## Spectrum Math Grade 5 Chapter 5 Lesson 5.6 Problem Solving Answers Key

Question 1.
Caroline needs 3$$\frac{1}{7}$$ cups of sugar for her first batch of brownies and 2$$\frac{8}{9}$$ cups of sugar for a second batch. How much sugar does she need in all?
Caroline needs ___________ cups of sugar.
Given,
Caroline needs 3$$\frac{1}{7}$$ cups of sugar for her first batch of brownies and 2$$\frac{8}{9}$$ cups of sugar for a second batch.
3$$\frac{1}{7}$$ + 2$$\frac{8}{9}$$
3 + 2 + $$\frac{1}{7}$$ + $$\frac{8}{9}$$
5 + $$\frac{1}{7}$$ + $$\frac{8}{9}$$
5 + 1 $$\frac{2}{63}$$ = 6 $$\frac{2}{63}$$ cups of sugar

Question 2.
Robert’s gas tank has 5$$\frac{3}{5}$$ gallons of gas in it. If he adds 7$$\frac{2}{3}$$ gallons, how much gas will be in the tank?
There will be ____________ gallons of gas in the tank.
Given,
Robert’s gas tank has 5$$\frac{3}{5}$$ gallons of gas in it.
he adds 7$$\frac{2}{3}$$ gallons
5$$\frac{3}{5}$$ + 7$$\frac{2}{3}$$
5 + 7 + $$\frac{3}{5}$$ + $$\frac{2}{3}$$
12 + $$\frac{3}{5}$$ + $$\frac{2}{3}$$ = 13 $$\frac{4}{15}$$
There will be 13 $$\frac{4}{15}$$ gallons of gas in the tank.

Question 3.
A hamburger weighs $$\frac{1}{3}$$ pound, and an order of french fries weighs $$\frac{1}{4}$$ pound. How many pounds total will a meal of hamburger and french fries weigh?
The meal will weigh _______________ pounds.
Given,
A hamburger weighs $$\frac{1}{3}$$ pound, and an order of french fries weighs $$\frac{1}{4}$$ pound.
$$\frac{1}{3}$$ + $$\frac{1}{4}$$
LCM = 12
$$\frac{4}{12}$$ + $$\frac{3}{12}$$ = $$\frac{7}{12}$$
The meal will weigh $$\frac{7}{12}$$ pounds.

Question 4.
Jonn is 5$$\frac{6}{10}$$ feet tall ana Jamar is $$\frac{5}{8}$$ feet taller than John. How tall ¡s Jamar?
Jamar is _____________ feet tall.
Given,
Jonn is 5$$\frac{6}{10}$$ feet tall ana Jamar is $$\frac{5}{8}$$ feet taller than John.
5$$\frac{6}{10}$$ + $$\frac{5}{8}$$
5 + $$\frac{6}{10}$$ + $$\frac{5}{8}$$ = 6 $$\frac{9}{40}$$
Jamar is 6 $$\frac{9}{40}$$ feet tall.

Question 5.
Mrs. Stevenson has used 4$$\frac{2}{3}$$ inches of string. She needs 1$$\frac{6}{7}$$ inches more. How much string will Mrs. Stevenson have used when she is done?
Mrs. Stevenson will have used ______________ inches of string.
Given,
Mrs. Stevenson has used 4$$\frac{2}{3}$$ inches of string.
She needs 1$$\frac{6}{7}$$ inches more.
4$$\frac{2}{3}$$ + 1$$\frac{6}{7}$$
4 + $$\frac{2}{3}$$ + 1 + $$\frac{6}{7}$$
4 + 1 + $$\frac{2}{3}$$ + $$\frac{6}{7}$$
5 + $$\frac{2}{3}$$ + $$\frac{6}{7}$$ = 6 $$\frac{11}{21}$$
Mrs. Stevenson will have used 6 $$\frac{11}{21}$$ inches of string.

Question 6.
It takes Lacy 8$$\frac{1}{3}$$ seconds to climb up the slide and 2$$\frac{1}{4}$$ seconds to go down the slide. How many seconds is Lacy’s trip up and down the slide?
Lacy’s trip is _____________ seconds long.
Given,
It takes Lacy 8$$\frac{1}{3}$$ seconds to climb up the slide and 2$$\frac{1}{4}$$ seconds to go down the slide.
8$$\frac{1}{3}$$ + 2$$\frac{1}{4}$$
8 + $$\frac{1}{3}$$ + 2 + $$\frac{1}{4}$$
10 + $$\frac{7}{12}$$ = 10$$\frac{7}{12}$$
Lacy’s trip is 10$$\frac{7}{12}$$ seconds long.

Question 1.
Eric needs $$\frac{1}{2}$$ deck of playing cards for a magic trick. He only has $$\frac{2}{7}$$ of a deck. What fraction of a deck does Eric still need?
Eric still needs _______________ of a deck.
Given,
Eric needs $$\frac{1}{2}$$ deck of playing cards for a magic trick.
He only has $$\frac{2}{7}$$ of a deck
$$\frac{1}{2}$$ – $$\frac{2}{7}$$ = $$\frac{3}{14}$$
Eric still needs $$\frac{3}{14}$$ of a deck.

Question 2.
Randy ran 1$$\frac{3}{4}$$ miles. Natasha ran $$\frac{9}{10}$$ miles. How many more miles did Randy run than Natasha?
Randy ran ______________ miles more than Natasha.
Given,
Randy ran 1$$\frac{3}{4}$$ miles. Natasha ran $$\frac{9}{10}$$ miles.
1$$\frac{3}{4}$$ – $$\frac{9}{10}$$ = $$\frac{17}{20}$$
Randy ran $$\frac{17}{20}$$ miles more than Natasha.

Question 3.
A soccer ball weighs 6 ounces when fully inflated. Raymundo has inflated the ball to 4$$\frac{2}{3}$$ ounces. How many more ounces must be added before the ball is fully inflated?
The ball needs _____________ more ounces to be fully inflated.
Given,
A soccer ball weighs 6 ounces when fully inflated.
Raymundo has inflated the ball to 4$$\frac{2}{3}$$ ounces.
6 – 4$$\frac{2}{3}$$
5 $$\frac{3}{3}$$– 4$$\frac{2}{3}$$ = 1$$\frac{1}{3}$$
The ball needs 1$$\frac{1}{3}$$ more ounces to be fully inflated.

Question 4.
In January, employees at Home Real Estate Company worked 6$$\frac{3}{4}$$ hours a day. In February, employees worked 7$$\frac{1}{8}$$ hours a day. How many more hours did employees work daily during February than during January?
Employees worked _____________ hours more during February.
Given,
In January, employees at Home Real Estate Company worked 6$$\frac{3}{4}$$ hours a day. In February, employees worked 7$$\frac{1}{8}$$ hours a day.
7$$\frac{1}{8}$$ – 6$$\frac{3}{4}$$ = $$\frac{3}{8}$$
Employees worked $$\frac{3}{8}$$  hours more during February.

Question 5.
Peter’s hat size is 7$$\frac{3}{8}$$ units. Cal’s hat size is 6$$\frac{7}{12}$$ units. How many units larger is Peter’s hat size than Cals?
Peter’s hat size is ____________ units larger than Cal’s.
Given,
Peter’s hat size is 7$$\frac{3}{8}$$ units.
Cal’s hat size is 6$$\frac{7}{12}$$ units.
7$$\frac{3}{8}$$ – 6$$\frac{7}{12}$$ = $$\frac{19}{24}$$
Peter’s hat size is $$\frac{19}{24}$$ units larger than Cal’s.

Question 6.
Mrs. Anderson uses 3$$\frac{1}{5}$$ cups of apples for her pies. Mrs. Woods uses 4$$\frac{2}{3}$$ cups of apples for her pies. How many more cups of apples does Mrs. Woods use than Mrs. Anderson?
Mrs. Woods uses _______________ more cups of apples.
Mrs. Anderson uses 3$$\frac{1}{5}$$ cups of apples for her pies.
Mrs. Woods uses 4$$\frac{2}{3}$$ cups of apples for her pies.
4$$\frac{2}{3}$$ – 3$$\frac{1}{5}$$ = 1 $$\frac{7}{15}$$
Mrs. Woods uses 1 $$\frac{7}{15}$$  more cups of apples.