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

Answer: Ernie has $750 and Bert has $\dfrac{750}{2}=\ 375$

Step-by-step explanation:

Let the amount that Ernie has be 'x'.

Let the amount that Bert has be $\dfrac{x}{2}$

Amount lost by Ernie = $225

Amount gained by Bert = $675

According to question, we get that

$2(x-225)=\dfrac{x}{2}+675\\\\2x-450=\dfrac{x}{2}+675\\\\2x-\dfrac{x}{2}=675+450\\\\\dfrac{4x-x}{2}=1125\\\\\dfrac{3x}{2}=1125\\\\x=\dfrac{1125\times 2}{3}\\\\x=\ 750$

Hence, Ernie has $750 and Bert has $\dfrac{750}{2}=\ 375$