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In which story is the answer to the question $0$ ? $\newline$ Choices: $\newline$ (A)At Bear Country Ski Resort, the West Hammer chairlift starts at an elevation $130$ meters below the main lodge. Arianna rides the chairlift, which increases her elevation by $130$ meters, and then gets off. How many meters above the lodge is Arianna when she gets off? $\newline$ (B)At Bear Country Ski Resort, the West Hammer chairlift starts at an elevation $130$ meters below the main lodge. Arianna rides the chairlift up to an elevation $130$ meters above the lodge. What is the change in elevation from where the chairlift started to where Arianna got off?

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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)At Bear Country Ski Resort, the West Hammer chairlift starts at an elevation

130

meters below the main lodge. Arianna rides the chairlift, which increases her elevation by

130

meters, and then gets off. How many meters above the lodge is Arianna when she gets off?

\newline

(B)At Bear Country Ski Resort, the West Hammer chairlift starts at an elevation

130

meters below the main lodge. Arianna rides the chairlift up to an elevation

130

meters above the lodge. What is the change in elevation from where the chairlift started to where Arianna got off?

Solve for Arianna's elevation: Step $1$ : Solve for Arianna's elevation relative to the lodge after riding the chairlift in story (A). She starts $130$ meters below the lodge and the chairlift increases her elevation by $130$ meters. Calculation: $-130$ meters $+$ $130$ meters $= 0$ meters.
Determine answer in story (A): Step $2$ : Determine if the answer to the question in story (A) is $0$ . The question asks how many meters above the lodge Arianna is when she gets off. Since the calculation shows she is at the same level as the lodge ( $0$ meters), the answer is indeed $0$ .
Solve for change in elevation: Step $3$ : Solve for the change in elevation in story (B). Arianna starts $130$ meters below the lodge and ends up $130$ meters above the lodge. Calculation: ( $130$ meters above) - ( $-130$ meters below) = $260$ meters.
Determine answer in story (B): Step $4$ : Determine if the answer to the question in story (B) is $0$ . The question asks for the change in elevation from where the chairlift started to where Arianna got off. Since the calculation shows a change of $260$ meters, the answer is not $0$ .

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