Alyssa shoots a basketball at a hoop 100 times she hits the backboard and misses 2/5 of her shots hits the rim and misses 32% of her shots and makes a basket with the rest of her shots. How many baskets do she make?

Question

Alyssa shoots a basketball at a hoop 100 times she hits the backboard and misses 2/5 of her shots hits the rim and misses 32% of her shots and makes a basket with the rest of her shots. How many baskets do she make?

Answer 1

First, let's calculate how many shots Alyssa misses when she hits the backboard:

2/5 of 100 shots = (2/5) * 100 = 40 shots missed hitting the backboard

Now, let's calculate how many shots Alyssa misses when she hits the rim:

32% of 100 shots = 0.32 * 100 = 32 shots missed hitting the rim

Now, let's calculate the total number of shots Alyssa misses:

Total shots missed = shots missed hitting the backboard + shots missed hitting the rim
Total shots missed = 40 + 32 = 72 shots

Now, let's calculate how many shots Alyssa makes:

Total shots made = total shots taken - total shots missed
Total shots made = 100 - 72 = 28 shots made

Therefore, Alyssa makes 28 baskets.