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)
