Alicia shoots a basketball at a hoop 100 times. She hits the backboard and misses with 2/5 of her shots, hits the rim and misses with 32% of her shots, and makes a basket with the rest of her shots.
How many baskets does she make?
A. 68
B. 40
C. 32
D. 28
D. 28
To calculate the number of baskets Alicia makes, first, we need to find the percentage of shots that hit the backboard and miss, and the percentage of shots that hit the rim and miss:
Backboard and miss: 2/5 * 100 = 40 shots
Rim and miss: 32% of 100 = 32 shots
So, the total number of shots that hit the backboard or rim and miss is 40 + 32 = 72 shots.
Therefore, the number of shots that make a basket is 100 - 72 = 28 shots.
Therefore, Alicia makes 28 baskets.