Jatzel is practicing his free throws for basketball, so he shoots 100 free throws. Jatzel hits the rim and misses 3/5 with of his shots, hits the backboard and misses 17% with of his shots, and makes the remaining shots. How many free throws did Jatzel make? Response
17
16
60
77
23
77
Let x be the number of free throws Jatzel makes.
Jatzel misses 3/5 of his shots that hit the rim, so he makes 2/5 of those shots. So, the number of shots he makes hitting the rim is (2/5)*(3/5)*100 = 12.
Jatzel also misses 17% of his shots that hit the backboard, so he makes 83% of those shots. So, the number of shots he makes hitting the backboard is 83%*17%*100 = 14.11 ≈ 14.
Jatzel made the remaining shots, so the total number of shots he makes is x = 100 - 12 - 14 = 74.
Therefore, Jatzel made 74 free throws.