Question

# Gary made four times as much money as Joel over the summer. combined, the two made $475. How much money did each boy earn? Algebra foundations ANSWERED asked 2021-06-27 Gary made four times as much money as Joel over the summer. combined, the two made$475. How much money did each boy earn?

2021-06-29
2021-08-04

Let x dollars be the amount that Joel made over the summer.
If Gary made four times as much as Joel, then Gary made 4x dollars.
Combined they then made $$x+4x=5x$$ dollars.
Since the combined amount the made is \$475, then $$5x=475$$.
Dividing both sides by 5 then gives $$\displaystyle{x}={\frac{{{475}}}{{{x}}}}={95}$$
Joel then earned $$x=95$$ and Gary earned $$4x=4(95)=380$$.