Oliver and Nick have some money. If Oliver gives $361 to Nick, the ratio of their money will be 2 : 5. If Oliver gives $679 to Nick, the ratio of their money will be 1: 4. How much does Oliver have?
| |
Case 1 |
Case 2 |
| |
Oliver |
Nick |
Oliver |
Nick |
| Before |
10 u + $361 |
25 u - $361 |
7 u + $679 |
28 u - $679 |
| Change |
- $361 |
+ $361 |
- $679 |
+ $679 |
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 Oliver has at first is the same in both cases.
10 u + 361 = 7 u + 679
10 u - 7 u = 679 - 361
3 u = 318
1 u = 318 ÷ 3 = 106
Amount that Oliver has
= 10 u + 361
= 10 x 106 + 361
= 1060 + 361
= $1421
Answer(s): $1421
