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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

Waynes savings to Stefs savings were in the ratio 56 After spending 28 each the ratio became 14I need to find waynes savings BEFORE he spent 28 and Stefs saving class=

Respuesta :

Answer:

a) $30

b) $8

Step-by-step 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

[tex]\frac{5x - 28}{6x - 28} = \frac{1}{4}[/tex]

⇒ 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)

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