Jeremy had five times as much money as Lucy. After Jeremy had given Lucy $178, they had an equal amount of money left. How much money did each of them have at first?
- Lucy
- Jeremy
|
Lucy |
Jeremy |
Before |
1 u |
5 u |
Change |
+ $178 |
- $178 |
After |
1 u + $178 |
5 u - $178 |
The amounts that Jeremy and Lucy had in the end are the same.
5 u - 178 = 1 u + 178
5 u - 1 u = 178 + 178
4 u = 356
1 u = 356 ÷ 4 = 89
Amount that Lucy had at first
= 1 u
= $89
Amount that Jeremy had at first
= 5 u
= 5 x 89
= $445
Answer(s): (a) $89; (b) $445