Question

Audreys free-throw percentage so far this season is .875. If she makes only 13 of her next 20 free throws, her percentage will drop to .860. How many free throws has Audrey made this season?

Answer 1

245 free throws

Step-by-step explanation:

x will be number of times Audreys makes a shot, and let y be total number of the shots.

x/y = .875

(x+13)/(y+20) = .860

Let solve for x in equation 1

x = .875y

We will plug the for x in the equation 2

(.875y+13)/(y+20)

= .860

.875y + 13

= .860y + 17.2

.015y = 4.2

y = 280

Audreys has taken 280 shots.

We will Plug that back into the equation 1 in order to find out how many Audreys made.

x/280 = .875

x = 245

Hence :

Audreys made 245 free throws