Valen had $520 more than Tim at first. Valen gave $10 to Tim. As a result, Tim has
27 as much money as Valen. How much money had each of them at first?
- Valen
- Tim
| |
Valen |
Tim |
More |
| Before |
7 u + $10 |
2 u - $10 |
$520 |
| Change |
- $10 |
+ $10 |
|
| After |
7 u |
2 u |
|
(a)
Valen had $520 more than Tim at first. If Tim received another $520, Valen and Tim would have the same amount at first.
7 u + 10 = 2 u - 10 + 520
7 u + 10 = 2 u + 510
7 u - 2 u = 510 - 10
5 u = 500
1 u = 500 ÷ 5 = 100
Amount that Valen had at first
= 7 u + 10
= 7 x 100 + 10
= 700 + 10
= $710
(b)
Amount that Tim had at first
= 2 u - 10
= 2 x 100 - 10
= 200 - 10
= $190
Answer(s): (a) $710; (b) $190
