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In which story is the answer to the question $0$ ? $\newline$ Choices: $\newline$ (A) Kendra took a hot air balloon ride from the bottom of a canyon to the top. The hot air balloon started at an elevation of $-90$ feet. When the ride ended, Kendra was at an elevation of $90$ feet. How much did Kendra's elevation change from the start of the hot air balloon ride to the top of the canyon? $\newline$ (B) Kendra took a hot air balloon ride from the bottom of a canyon to the top. The hot air balloon started at an elevation of $-90$ feet. When the ride ended, Kendra was $90$ feet higher in elevation than she was when the ride started. At what elevation did the hot air balloon ride end?

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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) Kendra took a hot air balloon ride from the bottom of a canyon to the top. The hot air balloon started at an elevation of

-90

feet. When the ride ended, Kendra was at an elevation of

90

feet. How much did Kendra's elevation change from the start of the hot air balloon ride to the top of the canyon?

\newline

(B) Kendra took a hot air balloon ride from the bottom of a canyon to the top. The hot air balloon started at an elevation of

-90

feet. When the ride ended, Kendra was

90

feet higher in elevation than she was when the ride started. At what elevation did the hot air balloon ride end?

Calculate Elevation Change: Step $1$ : Calculate the change in elevation for Kendra in story (A). Kendra's elevation change is the difference between her final elevation and her starting elevation. Calculation: $90 \text{ feet}$ - $-90 \text{ feet}$ = $180 \text{ feet}$ .
Determine Final Elevation: Step $2$ : Determine the final elevation for Kendra in story (B). Kendra started at $-90$ feet and went up by $90$ feet. Calculation: $(-90$ feet) + $90$ feet = $0$ feet.
Identify Correct Story: Step $3$ : Identify which story results in an answer of $0$ . From Step $1$ , the elevation change is $180$ feet, and from Step $2$ , the final elevation is $0$ feet.

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