Fred had $180 more than Ivan at first. Fred gave $20 to Ivan. As a result, Ivan has
310 as much money as Fred. How much money had each of them at first?
- Fred
- Ivan
| |
Fred |
Ivan |
More |
| Before |
10 u + $20 |
3 u - $20 |
$180 |
| Change |
- $20 |
+ $20 |
|
| After |
10 u |
3 u |
|
(a)
Fred had $180 more than Ivan at first. If Ivan received another $180, Fred and Ivan would have the same amount at first.
10 u + 20 = 3 u - 20 + 180
10 u + 20 = 3 u + 160
10 u - 3 u = 160 - 20
7 u = 140
1 u = 140 ÷ 7 = 20
Amount that Fred had at first
= 10 u + 20
= 10 x 20 + 20
= 200 + 20
= $220
(b)
Amount that Ivan had at first
= 3 u - 20
= 3 x 20 - 20
= 60 - 20
= $40
Answer(s): (a) $220; (b) $40
