Vincent and Sam had $110 altogether. After Vincent spent
15 of his money and Sam spent
23 of his money, Vincent was left with twice as much money as Sam. How much money did Sam have at first?
| |
Vincent |
Sam |
Total |
| Before |
5x1 =
5 u |
3x2 =
6 u |
$110 |
| Change |
- 1x1 =
- 1 u |
- 2x2 =
- 4 u |
|
| After |
4x1 =
4 u |
1x2 =
2 u |
|
Comparing Vincent
and Sam in the end |
2x2 =
4 u |
1x2 =
2 u |
|
The amount that Vincent had in the end is repeated. Make the amount that Vincent had in the end the same. LCM of 4 and 2 is 4.
Total amount that Vincent and Sam had at first
= 5 u + 6 u
= 11 u
11 u = 110
1 u = 110 ÷ 11 = 10
Amount that Sam had at first
= 6 u
= 6 x 10
= $60
Answer(s): $60
