Jatzel is practicing his free throws for basketball, so he shoots 100 free throws. Jatzel hits the rim and misses with
of his shots, hits the backboard and misses with of his shots, and makes the remaining shots. How many free throws did Jatzel make?
Jatzel misses with 1/3 (33.33%) of his shots by hitting the rim.
He misses with 1/4 (25%) of his shots by hitting the backboard.
This means that he makes (1 - 1/3 - 1/4) = 5/12 = 41.67% of his free throws.
Out of 100 free throws, Jatzel makes 100 * 5/12 = 41.67 free throws. (rounded to 42)
Jatzel made 42 free throws.
Wrong
I apologize for the mistake. Let's recalculate.
Jatzel misses with 1/3 (33.33%) of his shots by hitting the rim.
He misses with 1/4 (25%) of his shots by hitting the backboard.
This means that he makes (1 - 1/3 - 1/4) = 5/12 = 41.67% of his free throws.
Out of 100 free throws, Jatzel makes 100 * 5/12 = 41.67 free throws. (rounded to 42)
Jatzel makes 42 free throws.