Question

"Bert has half as much money as Ernie. If Ernie loses $225 and Bert earns $675, Bert will have twice as much money as Ernie. How much money do Bert and Ernie have before and after earning money

Answer 1

Ernie has $750 and Bert has $375

Answer 2

Answer: Ernie has $750 and Bert has
`(750)/(2)=\$375`

Explanation:

Let the amount that Ernie has be 'x'.

Let the amount that Bert has be
`(x)/(2)`

Amount lost by Ernie = $225

Amount gained by Bert = $675

According to question, we get that

`2(x-225)=(x)/(2)+675\\\\2x-450=(x)/(2)+675\\\\2x-(x)/(2)=675+450\\\\(4x-x)/(2)=1125\\\\(3x)/(2)=1125\\\\x=(1125* 2)/(3)\\\\x=\$750`

Hence, Ernie has $750 and Bert has
`(750)/(2)=\$375`