Question

Anthony scored 28 points in a recent basketball game. He made a total of 12 baskets. How many 2 and 3 point shots did he make? (Consider only the 2 and 3 point shots: no free throws)

Answer 1

8 2-point shots and 4 3-point shots

Explanation:

Anthony scored 28 points with 12 baskets. Saying that, (with x-y representing 2 point shots-3 point shots) any combination with a supermajority (at least 75% of) of either shot is out. This leaves just 5 possible combinations. 8-4, 7-5, 6-6, 5-7, and 4-8. Multiply the first number by 2 and the second by 3.

(4 * 2) + (8 * 3) = 8 + 24 = 32 points, so no.

(5 * 2) + (7 * 3) = 10 + 21 = 31 points, so no.

(6 * 2) + (6 * 3) = 12 + 18 = 30 points, so no.

(7 * 2) + (5 * 3) = 14 + 15 = 29 points, so no as well.

(8 * 2) + (4 * 3) = 16 + 12 = 28 points, so this is the combination we're looking for.