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In which story is the answer to the question $0$ ? $\newline$ Choices: $\newline$ (A)Kurt hiked through a canyon on a trail that began at an elevation of $-35$ feet. When he stopped to rest at noon, his elevation had decreased by $35$ feet from the start of his hike. At what elevation was Kurt when he stopped at noon? $\newline$ (B)Kurt hiked through a canyon on a trail that began at an elevation of $-35$ feet. When he stopped to rest at noon, his change in elevation had increased by $35$ feet from the start of his hike. At what elevation was Kurt when he stopped at noon?

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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)Kurt hiked through a canyon on a trail that began at an elevation of

-35

feet. When he stopped to rest at noon, his elevation had decreased by

35

feet from the start of his hike. At what elevation was Kurt when he stopped at noon?

\newline

(B)Kurt hiked through a canyon on a trail that began at an elevation of

-35

feet. When he stopped to rest at noon, his change in elevation had increased by

35

feet from the start of his hike. At what elevation was Kurt when he stopped at noon?

Calculate Initial Elevation (A): Solve the first story (A): Kurt's initial elevation is $-35$ feet. The elevation decreased by $35$ feet. Calculation: $-35$ feet $-$ $35$ feet = $-70$ feet.
Calculate Initial Elevation (B): Solve the second story (B): Kurt's initial elevation is $-35$ feet. The elevation increased by $35$ feet. Calculation: $-35$ feet $+$ $35$ feet $=$ $0$ feet.
Determine Resulting Elevation: Determine which story's question results in an answer of $0$ . In story (A), the elevation is $-70$ feet. In story (B), the elevation is $0$ feet.

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