Maths question about ratio

Question

The ratio of the amt of money Arvan had to the amt of money Ben had was 3:1 at first.After Arvan had spent $20,the ratio becomes 5:3.How much money did each boy have at first??

Answer 1

A:B

3:1 (before)

5:3 (after A spends $20)

Since there is no change in B's spending, multiple the "before ratio" by 3 throughout ==> you will get 9:3.

B is the same 3 but A had 9 units before spending.  He spent $20 (9-5 units = 4 units).  4units = $20; 1 unit=$5

A= 9 units x $5 = $45

B=3 units x $5 = $15

Answer 2

before: ratio is 9:3

after: ratio is 5:3

so 4 units is $20.

1 unit is $5.

at first: Arvan- 5 x 9 = 45

           Ben- 5 x 3 = 15