Eric and Zane had a total of $255. Eric gave $50 to Zane. In return, Zane gave
14 of his money to Eric. In the end, Eric had four times as much money as Zane. How much money did Eric have at first?
| |
Eric |
Zane |
Total |
| Before |
|
|
$255 |
| Change 1 |
- $50 |
+ $50 |
|
| After 1 |
|
4 p |
|
| Change 2 |
+ 1 p |
- 1 p |
|
| After 2 |
|
3 p |
|
Comparing Eric
and Zane
in the end |
4 u |
1 u |
$255 |
The total amount that Zane and Eric had remains unchanged.
Total amount in the end
= 4 u + 1 u
= 5 u
5 u = 255
1 u = 255 ÷ 5 = 51
Amount that Eric has in the end
= 4 u
= 4 x 51
= $204
Amount that Zane has in the end
= 1 u
= $51
3 p = 1 u = 51
1 p = 51 ÷ 3 = 17
Amount that Zane gave to Eric
= 1 p
= 1 x 17
= $17
Amount that Eric had at first
= 204 - 17 + 50
= $237
Answer(s): $237
