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?
First, we need to determine how many shots Alicia misses in total:
Misses hitting the backboard: 2/5 x 100 = 40 shots
Misses hitting the rim: 32% x 100 = 32 shots
Total misses: 40 + 32 = 72 shots
Now, we can calculate how many baskets Alicia makes:
Total shots: 100
Missed shots: 72
Baskets made: 100 - 72 = 28 baskets
Therefore, Alicia makes 28 baskets out of 100 shots.