All the solutions provided in **McGraw Hill Math Grade 5 Answer Key PDF Chapter 8 Lesson 5 Problem Solving: Multistep Problems **are as per the latest syllabus guidelines.

## McGraw-Hill Math Grade 5 Answer Key Chapter 8 Lesson 5 Problem Solving: Multistep Problems

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Question 1.

Luke walks \(\frac{1}{2}\) mile each day. Isaiah walks \(\frac{1}{3}\) mile each day. How many more miles will Luke walk than Isaiah in 18 days?

Answer:

3.06 more miles Luke walks than Isaiah in 18 days.

Explanation:

Number of miles Luke walks each day = \(\frac{1}{2}\)

Number of miles Isaiah walks each day = \(\frac{1}{3}\)

Difference:

Number of miles Luke walks each day – Number of miles Isaiah walks each day

= \(\frac{1}{2}\) – \(\frac{1}{3}\)

= 0.50 – 0.33

= 0.17.

Number of days = 18.

=> 0.17 Ã— 18

=> 3.06.

Question 2.

Daisy drinks \(\frac{1}{5}\) quart of juice every day. Her mom buys 15 quarts of juice. If the rest of the family drinks 9 quarts, how many days will it take Daisy to drink the rest?

Answer:

Number of days it takes Daisy to drink the rest = 30.

Explanation:

Number of quarts of juice every day Daisy drinks = \(\frac{1}{5}\)

Number of quarts of juice her mom buys = 15.

Number of quarts of juice rest of the family drinks = 9.

Number of quarts of juice is left = Number of quarts of juice her mom buys – Number of quarts of juice rest of the family drinks

= 15 – 9

= 6.

Number of days it takes Daisy to drink the rest = Number of quarts of juice is left Ã· Number of quarts of juice every day Daisy drinks

= 6 Ã· \(\frac{1}{5}\)

= 6 Ã— 5

= 30.

Question 3.

Mr. Nelson buys 7 yards of chain that costs $18.39 per yard. Ms. Kennedy buys 8 yards of chain that costs $20.58 per yard. How much more did Ms. Kennedy spend than Mr. Nelson?

Answer:

$35.91 more Ms. Kennedy spends than Mr. Nelson.

Explanation:

Number of yards of chain Mr. Nelson buys = 7.

Cost of each yard of chain Mr. Nelson buys = $18.39.

Total cost of yards of chain Mr. Nelson buys = Number of yards of chain Mr. Nelson buys Ã— Cost of each yard of chain Mr. Nelson buys

= 7 Ã— $18.39

= $128.73.

Number of yards of chain Ms. Kennedy buys = 8.

Cost of each yard of chain Ms. Kennedy buys = $20.58

Total cost of yards of chain Ms. Kennedy buysÂ = Number of yards of chain Ms. Kennedy buys Ã— Cost of each yard of chain Ms. Kennedy buys

= 8 Ã— $20.58

= $164.64.

Difference:

Total cost of yards of chain Ms. Kennedy buys – Total cost of yards of chain Mr. Nelson buys

= $164.64 – $128.73

= $35.91.

Question 4.

Isabella has 42 bracelets and she gave half to her friend Ashley. Then she took \(\frac{1}{3}\) of her remaining bracelets and gave them to her cousin Elena. How many bracelets does Isabella have left?

Answer:

Number of bracelets of remaining bracelets now with her = 14.

Explanation:

Number of bracelets Isabella has = 42.

she gave half to her friend Ashley.

=> Number of bracelets she gave to her friend Ashley = Number of bracelets Isabella has Ã· 2

= 42 Ã· 2

= 21.

Number of bracelets of remaining bracelets = Number of bracelets Isabella has –Â Number of bracelets she gave to her friend Ashley

= 42 – 21

= 21.

Number of remaining bracelets \(\frac{1}{3}\) she took and gave them to her cousin Elena.

=> Number of bracelets she gave to her cousin Elena = Number of bracelets of remaining bracelets Ã— \(\frac{1}{3}\)

= 21 Ã— \(\frac{1}{3}\)

= 7.

Number of bracelets of remaining bracelets now with her = Number of bracelets of remaining bracelets – Number of bracelets she gave to her cousin Elena

= 21 – 7

= 14.