Declan earned four times as much money last summer as his sister Gwen. Together they earned $475. How much did each person earn? [Show Work]

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 a total = $475.

Therefore, we can set up 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

x = 95.

Therefore, Gwen earned = $95.

Declan earned four times which is 4 × 95 = $380.