Warren and Carl have some money. If Warren gives $324 to Carl, the ratio of their money will be 2 : 5. If Warren gives $621 to Carl, the ratio of their money will be 1: 4. How much does Warren have?
|
Case 1 |
Case 2 |
|
Warren |
Carl |
Warren |
Carl |
Before |
10 u + $324 |
25 u - $324 |
7 u + $621 |
28 u - $621 |
Change |
- $324 |
+ $324 |
- $621 |
+ $621 |
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 Warren has at first is the same in both cases.
10 u + 324 = 7 u + 621
10 u - 7 u = 621 - 324
3 u = 297
1 u = 297 ÷ 3 = 99
Amount that Warren has
= 10 u + 324
= 10 x 99 + 324
= 990 + 324
= $1314
Answer(s): $1314