Oliver and Henry have some money. If Oliver gives $299 to Henry, the ratio of their money will be 2 : 5. If Oliver gives $692 to Henry, the ratio of their money will be 1: 4. How much does Oliver have?
|
Case 1 |
Case 2 |
|
Oliver |
Henry |
Oliver |
Henry |
Before |
10 u + $299 |
25 u - $299 |
7 u + $692 |
28 u - $692 |
Change |
- $299 |
+ $299 |
- $692 |
+ $692 |
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 + 299 = 7 u + 692
10 u - 7 u = 692 - 299
3 u = 393
1 u = 393 ÷ 3 = 131
Amount that Oliver has
= 10 u + 299
= 10 x 131 + 299
= 1310 + 299
= $1609
Answer(s): $1609