Question

I can't figure out how to set up this inequality problem.

Mario makes 6 free throw shots out of his first 10 attempts. What is the least number of consecutive shots Mario must make to increase his percentage from 60% to at least 70%?

~ 1 shot
~ 4 shots
~ 10 shots
~ 14 shots

Answer 1

I'm pretty sure that one of the fractions will be 6/10 since he made 6 shot out of his first 10 attempts.

Answer 2

currently: 6/10 = 60%

letting x = additional free throws to make 70%:

(6 + x) / (10 + x) = 70%

solving for x:
(6 + x) / (10 + x) = 7/10
cross multiply:
60 + 10x = 70 + 7x
3x = 10
x = 3 1/3

since he can't make 1/3 of a shot, the least number of consecutive shots to get to 70% would be 4.

Answer 3

I see now. Thank you very much. :)

Answer 4

no problem