Question

Katie makes 70% of her shots from the free-throw line. Can you determine how many consecutive free-throws she must make in order to increase your percentage to 75%? Explain.

Answer 1

Let's see, if she has made 65% of n throws so far, then she needs to throw x more in a row to get 68%.
so you would do:
.65n+x=.68(n+x)
.03n=.32x
x=3/32 n

Answer 2

To make 70% she has completed 7 out of 10 shots. for her to get 75% she would need 3 out of 4 each time.