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In which story is the answer to the question $0$ ? $\newline$ Choices: $\newline$ (A) Eva belongs to an outdoor recreation club that is building a new walking trail. The elevation of the trailhead is $-30$ feet. Eva is digging out a section of the trail at a location $30$ feet higher in elevation than the trailhead. At what elevation is Eva digging? $\newline$ (B) Eva belongs to an outdoor recreation club that is building a new walking trail. The elevation of the trailhead is $-30$ feet. Eva is digging out a section of the trail at a location with an elevation of $30$ feet. How much higher in elevation is Eva digging than the trailhead?

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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) Eva belongs to an outdoor recreation club that is building a new walking trail. The elevation of the trailhead is

-30

feet. Eva is digging out a section of the trail at a location

30

feet higher in elevation than the trailhead. At what elevation is Eva digging?

\newline

(B) Eva belongs to an outdoor recreation club that is building a new walking trail. The elevation of the trailhead is

-30

feet. Eva is digging out a section of the trail at a location with an elevation of

30

feet. How much higher in elevation is Eva digging than the trailhead?

Calculate Eva's elevation: Solve for the elevation where Eva is digging in story (A). The trailhead is at $-30$ feet, and Eva is digging $30$ feet higher. Calculation: $-30$ feet $+$ $30$ feet $=$ $0$ feet.
Calculate elevation difference: Solve for the difference in elevation in story (B). The trailhead is at $-30$ feet, and Eva is digging at an elevation of $30$ feet. Calculation: $30$ feet $-$ ( $-30$ feet) $= 60$ feet.
Identify story with $0$ answer: Determine which story's question results in an answer of $0$ . In story (A), the elevation where Eva is digging is $0$ feet. In story (B), the difference in elevation is $60$ feet.

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