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Read this word problem. $\newline$ Amanda is playing her new video game, Track Runner. At first, she earned $20$ points for winning a sprint. Then in the next race, she got $-25$ points when she knocked over most of her hurdles. What is Amanda's total score now? $\newline$ To solve the problem, Amy added $20 + (-25)$ and came up with an answer of $5$ points. Is Amy correct? Why or why not? $\newline$ Choices: $\newline$ (A)Yes, Amy is correct. $\newline$ (B)No. The answer should have been $-5$ , not $5$ , because Amanda lost more points than she gained. $\newline$ (C)No. Amy should have subtracted $20 - (-25)$ because Amanda earned negative points. $\newline$

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Add and subtract integers: word problems

Full solution

Q. Read this word problem.

\newline

Amanda is playing her new video game, Track Runner. At first, she earned

20

points for winning a sprint. Then in the next race, she got

-25

points when she knocked over most of her hurdles. What is Amanda's total score now?

\newline

To solve the problem, Amy added

20 + (-25)

and came up with an answer of

5

points. Is Amy correct? Why or why not?

\newline

Choices:

\newline

(A)Yes, Amy is correct.

\newline

(B)No. The answer should have been

-5

, not

5

, because Amanda lost more points than she gained.

\newline

(C)No. Amy should have subtracted

20 - (-25)

because Amanda earned negative points.

\newline

Calculate Points: Amy added $20$ points for winning a sprint to $-25$ points for knocking over hurdles. The calculation is $20 + (-25)$ .
Combine Values: To add the points, we combine $20$ and $-25$ . The calculation is $20 + (-25) = -5$ .
Compare Answers: Amy's answer was $5$ points, but the correct answer is $-5$ points. Amanda lost more points than she gained.

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