Rael and Oscar have some money. If Rael gives $394 to Oscar, the ratio of their money will be 2 : 5. If Rael gives $661 to Oscar, the ratio of their money will be 1: 4. How much does Rael have?
| |
Case 1 |
Case 2 |
| |
Rael |
Oscar |
Rael |
Oscar |
| Before |
10 u + $394 |
25 u - $394 |
7 u + $661 |
28 u - $661 |
| Change |
- $394 |
+ $394 |
- $661 |
+ $661 |
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 Rael has at first is the same in both cases.
10 u + 394 = 7 u + 661
10 u - 7 u = 661 - 394
3 u = 267
1 u = 267 ÷ 3 = 89
Amount that Rael has
= 10 u + 394
= 10 x 89 + 394
= 890 + 394
= $1284
Answer(s): $1284
