Mary scored a total of 27 points in a basketball game. During the game, all her points came from 3-point shots and 2-point shots. The number of 3-point shots she made is 4 more than her 2-point shots. How many 3-point shots and 2-point shots did she make?
Responses
A 2 three-point shots and 6 two-point shots2 three-point shots and 6 two-point shots
B 3 three-point shots and 7 two-point shots3 three-point shots and 7 two-point shots
C 6 three=point shots and 2 two-point shots6 three=point shots and 2 two-point shots
D 7 three-point shots and 3 two-point shots
Let the number of 2-point shots she made be x.
Then the number of 3-point shots she made is x+4.
Total points from 2-point shots: 2x
Total points from 3-point shots: 3(x+4) = 3x+12
Total points = 27
2x + 3x + 12 = 27
5x + 12 = 27
5x = 15
x = 3
So, the number of 2-point shots she made is 3 and the number of 3-point shots she made is 3+4 = 7.
Therefore, the answer is D- 7 three-point shots and 3 two-point shots.