Eric and Lee have some money. If Eric gives $279 to Lee, the ratio of their money will be 2 : 5. If Eric gives $675 to Lee, the ratio of their money will be 1: 4. How much does Eric have?
| |
Case 1 |
Case 2 |
| |
Eric |
Lee |
Eric |
Lee |
| Before |
10 u + $279 |
25 u - $279 |
7 u + $675 |
28 u - $675 |
| Change |
- $279 |
+ $279 |
- $675 |
+ $675 |
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 Eric has at first is the same in both cases.
10 u + 279 = 7 u + 675
10 u - 7 u = 675 - 279
3 u = 396
1 u = 396 ÷ 3 = 132
Amount that Eric has
= 10 u + 279
= 10 x 132 + 279
= 1320 + 279
= $1599
Answer(s): $1599
