Pierre had five times as much money as Anna. After Pierre had given Anna $158, they had an equal amount of money left. How much money did each of them have at first?
- Anna
- Pierre
|
Anna |
Pierre |
Before |
1 u |
5 u |
Change |
+ $158 |
- $158 |
After |
1 u + $158 |
5 u - $158 |
The amounts that Pierre and Anna had in the end are the same.
5 u - 158 = 1 u + 158
5 u - 1 u = 158 + 158
4 u = 316
1 u = 316 ÷ 4 = 79
Amount that Anna had at first
= 1 u
= $79
Amount that Pierre had at first
= 5 u
= 5 x 79
= $395
Answer(s): (a) $79; (b) $395