Question

Ben shot three times as many baskets as Jane, while Kyle shot 12 more baskets than Jane. If Ben and Kyle shot the same number of baskets, how many baskets did each of them shoot?

A. Ben: 18, Jane: 6, Kyle: 18
B. Ben: 9, Jane: 3, Kyle: 15
C. Ben: 12, Jane: 4, Kyle: 16
D. Ben: 15, Jane: 5, Kyle: 17

Answer 1

By setting up equations based on the given relationships, we find that Jane shot 6 baskets, which means Ben shot 18 (since he shot three times more), and Kyle also shot 18 (12 more than Jane).

Step-by-step explanation:

We are given that Ben shot three times as many baskets as Jane, and Kyle shot 12 more baskets than Jane. Ben and Kyle shot the same number of baskets. Let's denote the number of baskets Jane shot as J. According to the problem, Ben's baskets are 3J and Kyle's baskets are J + 12.

Since Ben and Kyle shot the same number of baskets:

• 3J = J + 12

To find the value of J, we subtract J from both sides:

• 3J - J = 12
• 2J = 12

Dividing both sides by 2 gives us J:

• J = 12 / 2
• J = 6

Now we know Jane shot 6 baskets, so:

• Ben: 3 * 6 = 18
• Jane: 6
• Kyle: 6 + 12 = 18

Therefore, the correct answer is Ben: 18, Jane: 6, Kyle: 18.