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Read this word problem. $\newline$ Ronnie is playing a card game called Subzero, where the goal is to get the lowest possible score. In the first round, Ronnie scored $-6$ points. In the second round, he scored $-12$ points. What is Ronnie's total score now? $\newline$ To solve the problem, Juan added $-6 + (-12)$ and came up with an answer of $-18$ points. Is Juan correct? Why or why not? $\newline$ Choices: $\newline$ (A) Yes, Juan is correct. $\newline$ (B) No. The answer should have been $18$ points, not $-18$ points, because a total is always positive. $\newline$ (C) No. Juan should have subtracted $-6 - (-12)$ because the points he earned were negative.

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Add and subtract integers: word problems

Full solution

Q. Read this word problem.

\newline

Ronnie is playing a card game called Subzero, where the goal is to get the lowest possible score. In the first round, Ronnie scored

-6

points. In the second round, he scored

-12

points. What is Ronnie's total score now?

\newline

To solve the problem, Juan added

-6 + (-12)

and came up with an answer of

-18

points. Is Juan correct? Why or why not?

\newline

Choices:

\newline

(A) Yes, Juan is correct.

\newline

(B) No. The answer should have been

18

points, not

-18

points, because a total is always positive.

\newline

(C) No. Juan should have subtracted

-6 - (-12)

because the points he earned were negative.

Calculate Ronnie's total score: Ronnie's scores from the first two rounds are $-6$ and $-12$ . To find the total, we add the two scores together. $\newline$ $-6 + (-12) = -6 - 12$
Add Ronnie's scores: After adding the two scores, we get $-6 - 12$ which equals $-18$ . $\newline$ $-6 - 12 = -18$
Verify Juan's calculation: So, Juan's calculation of $-6 + (-12) = -18$ points is correct.

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