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In which story is the answer to the question $0$ ? $\newline$ Choices: $\newline$ (A)Hanson learned a new dice game this week, where you earn or lose points based on the number you roll. At the end of the game, Hanson had $-12$ points. Hanson's friend Brenda ended with $12$ more points than Hanson ended with. How many points did Brenda have at the end of the game? $\newline$ (B)Hanson learned a new dice game this week, where you earn or lose points based on the number you roll. At the end of the game, Hanson had $-12$ points. Hanson's friend Brenda ended with $12$ fewer points than Hanson ended with. How many points did Brenda have at the end of the game?

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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)Hanson learned a new dice game this week, where you earn or lose points based on the number you roll. At the end of the game, Hanson had

-12

points. Hanson's friend Brenda ended with

12

more points than Hanson ended with. How many points did Brenda have at the end of the game?

\newline

(B)Hanson learned a new dice game this week, where you earn or lose points based on the number you roll. At the end of the game, Hanson had

-12

points. Hanson's friend Brenda ended with

12

fewer points than Hanson ended with. How many points did Brenda have at the end of the game?

Calculate Brenda's points (A): Step $1$ : Solve for Brenda's points in story (A). Hanson ended with $-12$ points. Brenda had $12$ more points than Hanson. Calculation: $-12 + 12 = 0$ .
Calculate Brenda's points $B$ : Step $2$ : Solve for Brenda's points in story $B$ . Hanson ended with $-12$ points. Brenda had $12$ fewer points than Hanson. Calculation: $-12 - 12 = -24$ .
Determine final answer: Step $3$ : Determine which story's question results in an answer of $0$ . In story (A), Brenda's points are $0$ . In story (B), Brenda's points are $-24$ .

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