Question

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

Answer 1

Lyle and Kyle each shot 18 baskets.

Explanation:

Let's represent the number of baskets that Cliff shot with the variable C. Since Lyle shot three times as many baskets as Cliff, we can represent the number of baskets that Lyle shot with 3C. Similarly, since Kyle shot 12 more baskets than Cliff, we can represent the number of baskets that Kyle shot with C + 12.

Since Lyle and Kyle shot the same number of baskets, we can set the expressions 3C and C + 12 equal to each other:

3C = C + 12

Subtracting C from both sides of the equation gives us:

2C = 12

Dividing both sides of the equation by 2 gives us:

C = 6

Since Cliff shot 6 baskets, Lyle and Kyle each shot 3 times as many baskets as Cliff, or 3 * 6 = 18 baskets.

the answer is Lyle and Kyle each shot 18 baskets.