Julian and Japheth have some money. If Julian gives $377 to Japheth, the ratio of their money will be 2 : 5. If Julian gives $485 to Japheth, the ratio of their money will be 1: 4. How much does Julian have?
|
Case 1 |
Case 2 |
|
Julian |
Japheth |
Julian |
Japheth |
Before |
10 u + $377 |
25 u - $377 |
7 u + $485 |
28 u - $485 |
Change |
- $377 |
+ $377 |
- $485 |
+ $485 |
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 + 377 = 7 u + 485
10 u - 7 u = 485 - 377
3 u = 108
1 u = 108 ÷ 3 = 36
Amount that Julian has
= 10 u + 377
= 10 x 36 + 377
= 360 + 377
= $737
Answer(s): $737