Ethan and Vincent had $1728 altogether. After Ethan spent
16 of his money and Vincent spent
56 of his money, Ethan was left with four times as much money as Vincent. How much money did Vincent have at first?
| |
Ethan |
Vincent |
Total |
| Before |
6x4 =
24 u |
6x5 =
30 u |
$1728 |
| Change |
- 1x4 =
- 4 u |
- 5x5 =
- 25 u |
|
| After |
5x4 =
20 u |
1x5 =
5 u |
|
Comparing Ethan
and Vincent in the end |
4x5 =
20 u |
1x5 =
5 u |
|
The amount that Ethan had in the end is repeated. Make the amount that Ethan had in the end the same. LCM of 5 and 4 is 20.
Total amount that Ethan and Vincent had at first
= 24 u + 30 u
= 54 u
54 u = 1728
1 u = 1728 ÷ 54 = 32
Amount that Vincent had at first
= 30 u
= 30 x 32
= $960
Answer(s): $960
