Ally and Billy had $480. Ally gave 2/5 of her money to Billy. Billy then gave 3/7 of his total amount to Ally. They then had the same amount of money. How much money did Ally have at first?

Guest Sep 30, 2021

#1**+2 **

Initially

a + b = 480 or b = 480-a

then

(a-2/5a) + (b + 2/5 a ) 3/7 = (b+2/5 a) 4/7 (b+2/5a) is the amount b has after a gives him 2/5....then he gives back 3/7 leaving b with 4/7

3/7 b + 6/35 a + 3/5 a = 4/7 b + 8/35 a

19/35 a = 1/7 b now sub in the red equation

19/35 a = 1/7 (480-a)

24/35 a = 480/7

a = 100 dollars at first

ElectricPavlov Sep 30, 2021