Sean and Japheth have some money. If Sean gives $279 to Japheth, the ratio of their money will be 2 : 5. If Sean gives $570 to Japheth, the ratio of their money will be 1: 4. How much does Sean have?
| |
Case 1 |
Case 2 |
| |
Sean |
Japheth |
Sean |
Japheth |
| Before |
10 u + $279 |
25 u - $279 |
7 u + $570 |
28 u - $570 |
| Change |
- $279 |
+ $279 |
- $570 |
+ $570 |
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 Sean has at first is the same in both cases.
10 u + 279 = 7 u + 570
10 u - 7 u = 570 - 279
3 u = 291
1 u = 291 ÷ 3 = 97
Amount that Sean has
= 10 u + 279
= 10 x 97 + 279
= 970 + 279
= $1249
Answer(s): $1249
