Japheth and Cole have some money. If Japheth gives $310 to Cole, the ratio of their money will be 2 : 5. If Japheth gives $505 to Cole, the ratio of their money will be 1: 4. How much does Japheth have?
| |
Case 1 |
Case 2 |
| |
Japheth |
Cole |
Japheth |
Cole |
| Before |
10 u + $310 |
25 u - $310 |
7 u + $505 |
28 u - $505 |
| Change |
- $310 |
+ $310 |
- $505 |
+ $505 |
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 Japheth has at first is the same in both cases.
10 u + 310 = 7 u + 505
10 u - 7 u = 505 - 310
3 u = 195
1 u = 195 ÷ 3 = 65
Amount that Japheth has
= 10 u + 310
= 10 x 65 + 310
= 650 + 310
= $960
Answer(s): $960
