Question

Wayne's savings to Stef's savings were in the ratio 5:6

After spending $28 each the ratio became 1:4

I need to find wayne's savings BEFORE he spent 28 and Stef's savings AFTER she spent 28

HELP PLEASE TY

Answer 1

a) $30

b) $8

Explanation:

Wayne's savings to Stef's savings were in the ratio 5:6.

Let, Wayne's saving is 5x and Stef's saving is 6x.

Now, given that after spending $28 each the ratio became 1:4.

So, we can write the equation as

`(5x - 28)/(6x - 28) = (1)/(4)`

⇒ 20x - 112 = 6x - 28

⇒ 14x = 84

⇒ x = 6

a) Therefore, Wayne's savings before he spends $28 is $(5 × 6) = $30

b) And, Stef's savings after she spends $28 will be $(6x - 28) = $(6 × 6 - 28) = $8 (Answer)