please answer question

Question

in basketball Katrina makes 6 out of every 9 free throws. Her coach claims that if she tries 15 free throws,she should make 10 of them. is the coachs claim correct

Answer 1

To answer this question, I recommend first expressing the two fractions as percentages for the purpose of comparison.

 

According to the question, Katrina makes 6 out of every 9 free throws which can be expressed as 6/9 x 100 = 66.67% accuracy

 

The Coach's claim that if she tries 15 shots she should make 10 can also be expressed as 10/15 x 100 = 66.67%

 

Given that both situations, expressed in percentages, lead to the same result of 66.67%, the Coach's claim is correct. 

Answer 2

given that katrina makes 6 out of 9 free throws, she should make 10 out of 15.

This is a problem involving fractions

 

6     10?

-- = ---

9     15

Now in comparing two fractions:

if the top value(numerator) of the first or(6) multiplied by the bottom value(denominator)of the second or (15) =

the top value(numerator) of the second or(10?) multiplied by the bottom value(denominator)of the first or (9)

then the fractions are the same.

so lets see:

6 x 15 = 9 x 10? or 90 = 90

since these are equal the fraction have the same value. The coaches claim is correct.