Jatzel is practicing his free throws for basketball, so he shoots 100 free throws. Jatzel hits the rim and misses with 3/5 of his shots, hits the backboard and misses with 17% of his shots, and makes the remaining shots. How many free throws did Jatzel make?

First, we need to determine the number of free throws that Jatzel missed hitting the rim.

3/5 of the 100 shots = (3/5) * 100 = 60 shots missed hitting the rim.

Next, we need to determine the number of free throws that missed hitting the backboard.

17% of the 100 shots = 0.17 * 100 = 17 shots missed hitting the backboard.

Now, we can calculate the total number of shots missed: 60 (missed hitting the rim) + 17 (missed hitting the backboard) = 77 shots missed in total.

Therefore, the number of shots that Jatzel made is: 100 (total shots) - 77 (shots missed) = 23 shots made.

Jatzel made 23 free throws.