Oscar had $500 more than Perry at first. Oscar gave $70 to Perry. As a result, Perry has
37 as much money as Oscar. How much money had each of them at first?
- Oscar
- Perry
| |
Oscar |
Perry |
More |
| Before |
7 u + $70 |
3 u - $70 |
$500 |
| Change |
- $70 |
+ $70 |
|
| After |
7 u |
3 u |
|
(a)
Oscar had $500 more than Perry at first. If Perry received another $500, Oscar and Perry would have the same amount at first.
7 u + 70 = 3 u - 70 + 500
7 u + 70 = 3 u + 430
7 u - 3 u = 430 - 70
4 u = 360
1 u = 360 ÷ 4 = 90
Amount that Oscar had at first
= 7 u + 70
= 7 x 90 + 70
= 630 + 70
= $700
(b)
Amount that Perry had at first
= 3 u - 70
= 3 x 90 - 70
= 270 - 70
= $200
Answer(s): (a) $700; (b) $200
