Charlie and Sam had $266 altogether. After Charlie spent
13 of his money and Sam spent
45 of his money, Charlie was left with thrice as much money as Sam. How much money did Sam have at first?
|
Charlie |
Sam |
Total |
Before |
3x3 = 9 u |
5x2 = 10 u |
$266 |
Change |
- 1x3 = - 3 u |
- 4x2 = - 8 u |
|
After |
2x3 = 6 u |
1x2 = 2 u |
|
Comparing Charlie and Sam in the end |
3x2 = 6 u |
1x2 = 2 u |
|
The amount that Charlie had in the end is repeated. Make the amount that Charlie had in the end the same. LCM of 2 and 3 is 6.
Total amount that Charlie and Sam had at first
= 9 u + 10 u
= 19 u
19 u = 266
1 u = 266 ÷ 19 = 14
Amount that Sam had at first
= 10 u
= 10 x 14
= $140
Answer(s): $140