The ratio of the number of Sandy's hair clips to the total number of Sandy's and Dianna's hair clips is 5:7.

Question

The ratio of the number of Sandy's hair clips to the total number of Sandy's and Dianna's hair clips is 5:7. If Dianna has 56 hair clips, how many less hair clips does she have than Sandy?

Please tell me the final answer.

Answer 1

x=# of hair clips Sandy has

x/(x+56)=5/7

7x=5(x+56)

7x=5x+280

7x-5x=280

2x=280

x=280/2

x=140 hair clips that Sandy has

140-56=84 less hair clips