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In which story is the answer to the question $0$ ? $\newline$ Choices: $\newline$ (A)Last weekend, Reagan filled her pool with water for the summer. On Saturday, it was really hot, and $2$ centimeters of water evaporated from the pool. On Sunday, the pool lost $2$ more centimeters of water during a water polo game. What is the difference between the pool's water level now and the water level when Reagan first filled it? $\newline$ (B)Last weekend, Reagan filled her pool with water for the summer. On Saturday, it was really hot, and $2$ centimeters of water evaporated from the pool. On Sunday, the water level rose $2$ centimeters after a rainstorm. What is the difference between the pool's water level now and the water level when Reagan first filled it?

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Quantities that combine to zero: word problems

Full solution

Q. In which story is the answer to the question

0

?

\newline

Choices:

\newline

(A)Last weekend, Reagan filled her pool with water for the summer. On Saturday, it was really hot, and

2

centimeters of water evaporated from the pool. On Sunday, the pool lost

2

more centimeters of water during a water polo game. What is the difference between the pool's water level now and the water level when Reagan first filled it?

\newline

(B)Last weekend, Reagan filled her pool with water for the summer. On Saturday, it was really hot, and

2

centimeters of water evaporated from the pool. On Sunday, the water level rose

2

centimeters after a rainstorm. What is the difference between the pool's water level now and the water level when Reagan first filled it?

Calculate total change: Solve the first story (A): Calculate the total change in water level over the weekend. On Saturday, $2\,\text{cm}$ evaporated, and on Sunday, $2\,\text{cm}$ more was lost during the game. Total change = $-2\,\text{cm}$ - $2\,\text{cm}$ = $-4\,\text{cm}$ .
Calculate total change: Solve the second story (B): Calculate the total change in water level over the weekend. On Saturday, $2\,\text{cm}$ evaporated, and on Sunday, the water level rose by $2\,\text{cm}$ due to rain. Total change = $-2\,\text{cm}$ + $2\,\text{cm}$ = $0\,\text{cm}$ .
Determine correct story: Determine which story's question results in an answer of $0$ . In story (A), the total change is $-4$ cm. In story (B), the total change is $0$ cm. So, the answer is story (B).

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