# Spectrum Math Grade 5 Chapter 8 Lesson 3 Answer Key Using Line Plots to Solve Measurement Problems

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## Spectrum Math Grade 5 Chapter 8 Lesson 8.3 Using Line Plots to Solve Measurement Problems Answers Key

A line plot is used to mark how many times something occurs in a data set. Line plots can be used to organize information to solve problems.

A pitcher holds 2 quarts of iced tea. There are several glasses being filled that hold various amounts—2 glasses hold $$\frac{1}{8}$$ qt., 1 glass holds $$\frac{1}{4}$$ qt., and 3 glasses hold $$\frac{1}{3}$$ qt. How much iced tea will be left in the pitcher?

2 – [(2 × $$\frac{1}{8}$$) + ($$\frac{1}{4}$$) + (3 × $$\frac{1}{3}$$)] =
2 – [($$\frac{2}{8}$$ + $$\frac{1}{4}$$ + $$\frac{3}{3}$$) = 2 – ($$\frac{1}{4}$$ + $$\frac{1}{4}$$ + 1) =
2 – 1$$\frac{1}{2}$$ = $$\frac{1}{2}$$ qt.

Draw a line plot to organize the information. Then, solve the problems.

Question 1.
Andre needs to get something out of the top of a closet, but cannot reach the shelf. He needs to construct something to stand on to reach the top, which is 3 feet too tall. He has 2 phone books that are each $$\frac{1}{4}$$ foot tall, 1 step stool that is $$\frac{1}{2}$$ foot tall, and one chair that is 1$$\frac{1}{3}$$ feet tall. Will Andre’s tower make him tall enough to reach the top?
No, the tower will not be tall enough.

Explanation:
Andre needs to construct something to stand on to reach the top, which is 3 feet too tall.
He has 2 phone books that are each $$\frac{1}{4}$$ foot tall,
1 step stool that is $$\frac{1}{2}$$ foot tall,
one chair that is 1$$\frac{1}{3}$$ feet tall.
3 -[(2 × $$\frac{1}{4}$$) + 1 x ($$\frac{1}{2}$$) + (1 × $$\frac{4}{3}$$)]
= 3 – ($$\frac{1}{2}$$ + $$\frac{1}{2}$$ + $$\frac{4}{3}$$)
= 3 – $$\frac{3 + 3 + 8}{6}$$
= 3 – $$\frac{14}{6}$$
= 3 – $$\frac{7}{3}$$
= $$\frac{9 – 7}{3}$$
= $$\frac{2}{3}$$ ft.

Question 2.
Getting ready for a science experiment, Mr. Yip has put water into 8 1-pint beakers. Two beakers hold $$\frac{1}{4}$$ pint, 3 beakers hold $$\frac{3}{8}$$ pint, 2 beakers hold $$\frac{5}{6}$$ pint, and 1 beaker holds $$\frac{5}{8}$$ pint. If Mr. Yip wants to split the water equally between the 8 beakers, how much water will be in each beaker?
3$$\frac{11}{12}$$ Pint of water in each beaker.

Explanation:
Mr. Yip has put water into 8 1-pint beakers.
Two beakers hold $$\frac{1}{4}$$ pint,
3 beakers hold $$\frac{3}{8}$$ pint,
2 beakers hold $$\frac{5}{6}$$ pint,
1 beaker holds $$\frac{5}{8}$$ pint.
If Mr. Yip wants to split the water equally between the 8 beakers,
the water in each beaker is,
2 x $$\frac{1}{4}$$ + 3 x $$\frac{3}{8}$$ + 2 x $$\frac{5}{6}$$ + 1 x $$\frac{5}{8}$$
=  $$\frac{2}{4}$$ +$$\frac{3×3}{8}$$ + $$\frac{2×5}{6}$$ + $$\frac{1×5}{8}$$
=  3$$\frac{11}{12}$$

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