Answer:
Gwen earned = $95 and Declan earned = $380.
Step-by-step explanation:
Given that Declan earned four times as much money as his sister Gwen.
They earn together total = $475.
Let us assume Gwen earn = $x.
Declan earned four times as much money as Gwen, that is 4 times of x = $4x.
On adding earning of Declan and Gwen earning, we get total = $475.
Therefore, we can setup an equation:
Declan earning + Gwen's earning = $475
4x + x = 475.
Combining like terms, we get
5x = 475.
Dividing both sides, by 5, we get
[tex]\frac{5x}{5} =\frac{475}{5}[/tex]
x = 95.
Therefore, Gwen earned = $95.
