Charlie and Simon have some money. If Charlie gives $223 to Simon, the ratio of their money will be 2 : 5. If Charlie gives $625 to Simon, the ratio of their money will be 1: 4. How much does Charlie have?
| |
Case 1 |
Case 2 |
| |
Charlie |
Simon |
Charlie |
Simon |
| Before |
10 u + $223 |
25 u - $223 |
7 u + $625 |
28 u - $625 |
| Change |
- $223 |
+ $223 |
- $625 |
+ $625 |
After
|
2x5 =
10 u |
5x5 =
25 u |
1x7 =
7 u |
4x7 =
28 u |
The total amounts in both cases remain unchanged. Make the total amounts in both cases the same. LCM of 7 and 5 is 35.
The amount that Charlie has at first is the same in both cases.
10 u + 223 = 7 u + 625
10 u - 7 u = 625 - 223
3 u = 402
1 u = 402 ÷ 3 = 134
Amount that Charlie has
= 10 u + 223
= 10 x 134 + 223
= 1340 + 223
= $1563
Answer(s): $1563
