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%?

Mario made 6 free throw shots out of 10 attempts which means that his accuracy is

6/10 = 0.6 = 60%

To increase it from 60% to 70%

We let x as the number of consecutive shots Mario must make

(6 + x) / (10 + x) = 0.70

Solving for x

6 + x = 7 + 0.70x

x - 0.70x = 7 - 6

0.30x = 1

0.30x/0.30 = 1/0.30

x = 3.33 ~ 4

He must make at least 4 shots