Alea has made 9 of 19 free throws so far this season... (description)

Question

Alea has made 9 of 19 free throws so far this season. Her goal is to make 60% of her free throws. If Alea makes her next x free throws in a row, how many successful free throws in a row will raise Alea's percent made to 60%?

Answer 1

(9+x)/(19+x) = 0.60

9+x = 19(.6) + .6x

.4x = 11.4-9 = 2.4

x = 2.4/.4 = 6 more successful free throws in a row and her percentage = 60%

9+6 = 15, 19+6 = 25

15/25 = 3/5 = .6 = 60%