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.

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

source