Archie had $370 more than Ivan at first. Archie gave $10 to Ivan. As a result, Ivan has
310 as much money as Archie. How much money had each of them at first?
- Archie
- Ivan
| |
Archie |
Ivan |
More |
| Before |
10 u + $10 |
3 u - $10 |
$370 |
| Change |
- $10 |
+ $10 |
|
| After |
10 u |
3 u |
|
(a)
Archie had $370 more than Ivan at first. If Ivan received another $370, Archie and Ivan would have the same amount at first.
10 u + 10 = 3 u - 10 + 370
10 u + 10 = 3 u + 360
10 u - 3 u = 360 - 10
7 u = 350
1 u = 350 ÷ 7 = 50
Amount that Archie had at first
= 10 u + 10
= 10 x 50 + 10
= 500 + 10
= $510
(b)
Amount that Ivan had at first
= 3 u - 10
= 3 x 50 - 10
= 150 - 10
= $140
Answer(s): (a) $510; (b) $140
