Jeremy and Ethan had $672 altogether. After Jeremy spent
14 of his money and Ethan spent
34 of his money, Jeremy was left with five times as much money as Ethan. How much money did Ethan have at first?
| |
Jeremy |
Ethan |
Total |
| Before |
4x5 =
20 u |
4x3 =
12 u |
$672 |
| Change |
- 1x5 =
- 5 u |
- 3x3 =
- 9 u |
|
| After |
3x5 =
15 u |
1x3 =
3 u |
|
Comparing Jeremy
and Ethan in the end |
5x3 =
15 u |
1x3 =
3 u |
|
The amount that Jeremy had in the end is repeated. Make the amount that Jeremy had in the end the same. LCM of 3 and 5 is 15.
Total amount that Jeremy and Ethan had at first
= 20 u + 12 u
= 32 u
32 u = 672
1 u = 672 ÷ 32 = 21
Amount that Ethan had at first
= 12 u
= 12 x 21
= $252
Answer(s): $252
