Charlie and Dylan have some money. If Charlie gives $279 to Dylan, the ratio of their money will be 2 : 5. If Charlie gives $513 to Dylan, the ratio of their money will be 1: 4. How much does Charlie have?
| |
Case 1 |
Case 2 |
| |
Charlie |
Dylan |
Charlie |
Dylan |
| Before |
10 u + $279 |
25 u - $279 |
7 u + $513 |
28 u - $513 |
| Change |
- $279 |
+ $279 |
- $513 |
+ $513 |
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 + 279 = 7 u + 513
10 u - 7 u = 513 - 279
3 u = 234
1 u = 234 ÷ 3 = 78
Amount that Charlie has
= 10 u + 279
= 10 x 78 + 279
= 780 + 279
= $1059
Answer(s): $1059
