Eric and Jack had a total of $195. Eric gave $26 to Jack. In return, Jack gave
16 of his money to Eric. In the end, Eric had twice as much money as Jack. How much money did Eric have at first?
| |
Eric |
Jack |
Total |
| Before |
|
|
$195 |
| Change 1 |
- $26 |
+ $26 |
|
| After 1 |
|
6 p |
|
| Change 2 |
+ 1 p |
- 1 p |
|
| After 2 |
|
5 p |
|
Comparing Eric
and Jack
in the end |
2 u |
1 u |
$195 |
The total amount that Jack and Eric had remains unchanged.
Total amount in the end
= 2 u + 1 u
= 3 u
3 u = 195
1 u = 195 ÷ 3 = 65
Amount that Eric has in the end
= 2 u
= 2 x 65
= $130
Amount that Jack has in the end
= 1 u
= $65
5 p = 1 u = 65
1 p = 65 ÷ 5 = 13
Amount that Jack gave to Eric
= 1 p
= 1 x 13
= $13
Amount that Eric had at first
= 130 - 13 + 26
= $143
Answer(s): $143
