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In which story is the answer to the question $0$ ? $\newline$ Choices: $\newline$ (A)Gabe and Ellie played a pick-up basketball game where players earn a point for making a shot and lose a point for missing a shot. Gabe ended with $-8$ points. Ellie ended with $8$ more points than Gabe. How many points did Ellie end with? $\newline$ (B)Gabe and Ellie played a pick-up basketball game where players earn a point for making a shot and lose a point for missing a shot. Gabe ended with $-8$ points. Ellie ended with $8$ points. How many more points did Ellie have than Gabe?

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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)Gabe and Ellie played a pick-up basketball game where players earn a point for making a shot and lose a point for missing a shot. Gabe ended with

-8

points. Ellie ended with

8

more points than Gabe. How many points did Ellie end with?

\newline

(B)Gabe and Ellie played a pick-up basketball game where players earn a point for making a shot and lose a point for missing a shot. Gabe ended with

-8

points. Ellie ended with

8

points. How many more points did Ellie have than Gabe?

Calculate Ellie's points: Calculate Ellie's points in story (A). Gabe's points = $-8$ . Ellie's points = Gabe's points + $8$ . Calculation: $-8 + 8 = 0$ .
Check answer for story (A): Check if the answer to the question in story (A) is $0$ . The question asks how many points Ellie ended with, and the calculation shows she ended with $0$ points.
Calculate points difference: Calculate the difference in points between Ellie and Gabe in story (B). Gabe's points = $-8$ , Ellie's points = $8$ . Calculation: $8 - (-8) = 16$ .
Check answer for story (B): Check if the answer to the question in story (B) is $0$ . The question asks how many more points Ellie had than Gabe, and the calculation shows she had $16$ more points.

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What is the equation for

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y=-\frac{5}{3}|x|

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y=\frac{3}{5}|x|

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\$ 200

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40 h+80 t=400

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