Trey made 12 out of 30 free-throw shots on the basketball court. If he attempts 75 free- throw shots, how many could he expect to make?

Question

I have math homework I do not understand and my parents don't get it and neither does my sister.

Answer 1

12/30 = 2/5 <--- divides by 6/6

 

2/5 * 75 = 150/5 = 30 <--- expect to make 30 shots

 

Optionally, you can set up a proportion:

 

  12        ?

----- = -------

 30         75

 

Cross multiplies:  12 * 75 = 30 x ?

 

  Solves for the unknown:    12 * 75

                                         --------- = ?

                                             30

 

6 x 5 = 30; 5 cancels 75 by a factor of 15

and 6 cancels 12 by a factor of 2.

?=30