Sam had $290 more than Reggie at first. Sam gave $20 to Reggie. As a result, Reggie has
27 as much money as Sam. How much money had each of them at first?
- Sam
- Reggie
| |
Sam |
Reggie |
More |
| Before |
7 u + $20 |
2 u - $20 |
$290 |
| Change |
- $20 |
+ $20 |
|
| After |
7 u |
2 u |
|
(a)
Sam had $290 more than Reggie at first. If Reggie received another $290, Sam and Reggie would have the same amount at first.
7 u + 20 = 2 u - 20 + 290
7 u + 20 = 2 u + 270
7 u - 2 u = 270 - 20
5 u = 250
1 u = 250 ÷ 5 = 50
Amount that Sam had at first
= 7 u + 20
= 7 x 50 + 20
= 350 + 20
= $370
(b)
Amount that Reggie had at first
= 2 u - 20
= 2 x 50 - 20
= 100 - 20
= $80
Answer(s): (a) $370; (b) $80
