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In which story is the answer to the question $0$ ? $\newline$ Choices: $\newline$ (A)Ethan, a chemist, was experimenting with the melting point of mercury in his lab. The mercury sample started at $-40^\circ\text{F}$ . Ethan used a burner to raise the temperature of the mercury to $40^\circ\text{F}$ . How much warmer was the mercury at the end of the experiment than it was at the beginning of the experiment? $\newline$ (B)Ethan, a chemist, was experimenting with the melting point of mercury in his lab. The mercury sample started at $-40^\circ\text{F}$ . Ethan used a burner to raise the temperature of the mercury by $40^\circ\text{F}$ . What was the temperature of the mercury at the end of the experiment?

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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)Ethan, a chemist, was experimenting with the melting point of mercury in his lab. The mercury sample started at

-40^\circ\text{F}

. Ethan used a burner to raise the temperature of the mercury to

40^\circ\text{F}

. How much warmer was the mercury at the end of the experiment than it was at the beginning of the experiment?

\newline

(B)Ethan, a chemist, was experimenting with the melting point of mercury in his lab. The mercury sample started at

-40^\circ\text{F}

. Ethan used a burner to raise the temperature of the mercury by

40^\circ\text{F}

. What was the temperature of the mercury at the end of the experiment?

Calculate Temperature Change: Step $1$ : Calculate the temperature change in story (A). The mercury's initial temperature is $-40^\circ\text{F}$ and it was heated to $40^\circ\text{F}$ . Calculate the difference: $40^\circ\text{F} - (-40^\circ\text{F}) = 80^\circ\text{F}$ .
Calculate Final Temperature: Step $2$ : Calculate the final temperature in story (B). The mercury's initial temperature is $-40^\circ\text{F}$ and it was heated by $40^\circ\text{F}$ . Calculate the new temperature: $-40^\circ\text{F} + 40^\circ\text{F} = 0^\circ\text{F}$ .
Identify Correct Answer: Step $3$ : Identify which story's answer is $0$ . From Step $1$ , the temperature change is $80\degree F$ , and from Step $2$ , the final temperature is $0\degree F$ . The answer to the question in story (B) is $0$ .

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