John and Ethan had $783 altogether. After John spent
14 of his money and Ethan spent
23 of his money, John was left with five times as much money as Ethan. How much money did Ethan have at first?
| |
John |
Ethan |
Total |
| Before |
4x5 =
20 u |
3x3 =
9 u |
$783 |
| Change |
- 1x5 =
- 5 u |
- 2x3 =
- 6 u |
|
| After |
3x5 =
15 u |
1x3 =
3 u |
|
Comparing John
and Ethan in the end |
5x3 =
15 u |
1x3 =
3 u |
|
The amount that John had in the end is repeated. Make the amount that John had in the end the same. LCM of 3 and 5 is 15.
Total amount that John and Ethan had at first
= 20 u + 9 u
= 29 u
29 u = 783
1 u = 783 ÷ 29 = 27
Amount that Ethan had at first
= 9 u
= 9 x 27
= $243
Answer(s): $243
