Julian had five times as much money as Gem. After Julian had given Gem $124, they had an equal amount of money left. How much money did each of them have at first?
- Gem
- Julian
|
Gem |
Julian |
Before |
1 u |
5 u |
Change |
+ $124 |
- $124 |
After |
1 u + $124 |
5 u - $124 |
The amounts that Julian and Gem had in the end are the same.
5 u - 124 = 1 u + 124
5 u - 1 u = 124 + 124
4 u = 248
1 u = 248 ÷ 4 = 62
Amount that Gem had at first
= 1 u
= $62
Amount that Julian had at first
= 5 u
= 5 x 62
= $310
Answer(s): (a) $62; (b) $310