Ian and Ethan have a total of $510. If Ethan gives Ian $32, Ian will have five times as much money as Ethan. How much money has each of them at first?
- Ethan
- Ian
|
Ian |
Ethan |
Total |
Before |
5 u - $32 |
1 u + $32 |
$510 |
Change |
+ $32 |
- $32 |
|
After |
5 u |
1 u |
$510 |
(a)
Total amount that Ian and Ethan have in the end
= 1 u + 5 u
= 6 u
6 u = 510
1 u = 510 ÷ 6 = 85
Amount that Ethan has at first
= 1 u + 32
= 85 + 32
= $117
(b)
Amount that Ian has at first
= 510 - 117
= $393
Answer(s): (a) $117; (b) $393