The ratio of Jill's money to Kelly's money was 4:5 after they each spent $156 the ratio became 8:11. How much money did jill and Kelly have at first

Question

4:5 $156 8:11

Answer 1

x=Jill's money

y=Kelly's money

x/y=4/5

(x-156)/(y-156)=8/11

x/y=4/5 -------->5x=4y --------->y=5x/4

cross multiply with the above proportion

11(x-156)=8(y-156)

11x-1716=8y-1248

substitute y=5x/4

11x-1716=8(5x/4)-1248

11x-1716=10x-1248

11x-10x=1716-1248

x=$468 for Jill  (answer)

x/y=4/5

468/y=4/5

multiply 4 by 117 to get 468

multiply 5 by 117 to get 585

y=$585 for Kelly (answer)   (or cross multiply to find y)