5
QuizMultiple Choice

Equations in the Real World

Question 5 • Math 7 B (M12 25/26 S2)

Juarez scored 32 points in a basketball game. He scored twice as many baskets worth 3 points than baskets worth 2 points. How many baskets did he score worth 3 points and how many did he score worth 2 points?

Answer
A
8 baskets worth 3 points each and 4 baskets worth 2 points each
B
6 baskets worth 3 points each and 7 baskets worth 2 points each
C
10 baskets worth 3 points each and 1 basket worth 2 points
D
4 baskets worth 3 points each and 10 baskets worth 2 points each

Explanation

Let x be the number of baskets worth 2 points. Juarez made twice as many 3-point baskets, or 2x, so his total was 2x + 3(2x) = 32. This gives 8x = 32, so x = 4: he made 4 two-point baskets and 8 three-point baskets, matching choice A.

AI-written and checked against the verified answer.

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