Question

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%?

Answer 1

Answer:

The least number of consecutive shots Mario must make to increase his percentage from 60% to at least 70% is:

                                    4

Step-by-step explanation:

Mario makes 6 free throw shots out of his first 10 attempts.

The percentage is: 60%

• Now if she make 1 more shot at the 11th attempt then the percentage will be:

$\dfrac{7}{11}\times 100=63.63\%$

( Since out of total 11 attempts she made 6 free throw before and 1 more at 11th attempt )

• If she makes 2 consecutive shot after 10 attempts then the percentage will be:

             $\dfrac{8}{12}\times 100=66.67\%$

 Similarly,

• If she makes 3 consecutive shot after 10 attempts then the percentage will be:

             $\dfrac{9}{13}\times 100=69.231\%$

                  which is still less than 70%

• Now if she makes 4 consecutive attempts in the 4 throws after 10 attempts then,

               Percentage will be:

                 $\dfrac{10}{14}\times 100=71.429\%$

                Hence, the percentage is atleast 70%

Hence, he has to make 4 consecutive shots to increase his percentage to atleast 70%.

Answer 2

4 consecutive shots will put him at 10-14 71.42%