Albert had $360 more than Charlie at first. Albert gave $100 to Charlie. As a result, Charlie has
35 as much money as Albert. How much money had each of them at first?
- Albert
- Charlie
| |
Albert |
Charlie |
More |
| Before |
5 u + $100 |
3 u - $100 |
$360 |
| Change |
- $100 |
+ $100 |
|
| After |
5 u |
3 u |
|
(a)
Albert had $360 more than Charlie at first. If Charlie received another $360, Albert and Charlie would have the same amount at first.
5 u + 100 = 3 u - 100 + 360
5 u + 100 = 3 u + 260
5 u - 3 u = 260 - 100
2 u = 160
1 u = 160 ÷ 2 = 80
Amount that Albert had at first
= 5 u + 100
= 5 x 80 + 100
= 400 + 100
= $500
(b)
Amount that Charlie had at first
= 3 u - 100
= 3 x 80 - 100
= 240 - 100
= $140
Answer(s): (a) $500; (b) $140
