Harry had $350 more than Fabian at first. Harry gave $50 to Fabian. As a result, Fabian has
27 as much money as Harry. How much money had each of them at first?
- Harry
- Fabian
| |
Harry |
Fabian |
More |
| Before |
7 u + $50 |
2 u - $50 |
$350 |
| Change |
- $50 |
+ $50 |
|
| After |
7 u |
2 u |
|
(a)
Harry had $350 more than Fabian at first. If Fabian received another $350, Harry and Fabian would have the same amount at first.
7 u + 50 = 2 u - 50 + 350
7 u + 50 = 2 u + 300
7 u - 2 u = 300 - 50
5 u = 250
1 u = 250 ÷ 5 = 50
Amount that Harry had at first
= 7 u + 50
= 7 x 50 + 50
= 350 + 50
= $400
(b)
Amount that Fabian had at first
= 2 u - 50
= 2 x 50 - 50
= 100 - 50
= $50
Answer(s): (a) $400; (b) $50
