Julian and Reggie have some money. If Julian gives $366 to Reggie, the ratio of their money will be 2 : 5. If Julian gives $696 to Reggie, the ratio of their money will be 1: 4. How much does Julian have?
| |
Case 1 |
Case 2 |
| |
Julian |
Reggie |
Julian |
Reggie |
| Before |
10 u + $366 |
25 u - $366 |
7 u + $696 |
28 u - $696 |
| Change |
- $366 |
+ $366 |
- $696 |
+ $696 |
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 Julian has at first is the same in both cases.
10 u + 366 = 7 u + 696
10 u - 7 u = 696 - 366
3 u = 330
1 u = 330 ÷ 3 = 110
Amount that Julian has
= 10 u + 366
= 10 x 110 + 366
= 1100 + 366
= $1466
Answer(s): $1466
