Dylan and Fabian have some money. If Dylan gives $372 to Fabian, the ratio of their money will be 2 : 5. If Dylan gives $609 to Fabian, the ratio of their money will be 1: 4. How much does Dylan have?
| |
Case 1 |
Case 2 |
| |
Dylan |
Fabian |
Dylan |
Fabian |
| Before |
10 u + $372 |
25 u - $372 |
7 u + $609 |
28 u - $609 |
| Change |
- $372 |
+ $372 |
- $609 |
+ $609 |
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 Dylan has at first is the same in both cases.
10 u + 372 = 7 u + 609
10 u - 7 u = 609 - 372
3 u = 237
1 u = 237 ÷ 3 = 79
Amount that Dylan has
= 10 u + 372
= 10 x 79 + 372
= 790 + 372
= $1162
Answer(s): $1162
