Pierre had $340 more than Glen at first. Pierre gave $20 to Glen. As a result, Glen has
38 as much money as Pierre. How much money had each of them at first?
- Pierre
- Glen
| |
Pierre |
Glen |
More |
| Before |
8 u + $20 |
3 u - $20 |
$340 |
| Change |
- $20 |
+ $20 |
|
| After |
8 u |
3 u |
|
(a)
Pierre had $340 more than Glen at first. If Glen received another $340, Pierre and Glen would have the same amount at first.
8 u + 20 = 3 u - 20 + 340
8 u + 20 = 3 u + 320
8 u - 3 u = 320 - 20
5 u = 300
1 u = 300 ÷ 5 = 60
Amount that Pierre had at first
= 8 u + 20
= 8 x 60 + 20
= 480 + 20
= $500
(b)
Amount that Glen had at first
= 3 u - 20
= 3 x 60 - 20
= 180 - 20
= $160
Answer(s): (a) $500; (b) $160
