Sean and Warren have some money. If Sean gives $223 to Warren, the ratio of their money will be 2 : 5. If Sean gives $550 to Warren, the ratio of their money will be 1: 4. How much does Sean have?
| |
Case 1 |
Case 2 |
| |
Sean |
Warren |
Sean |
Warren |
| Before |
10 u + $223 |
25 u - $223 |
7 u + $550 |
28 u - $550 |
| Change |
- $223 |
+ $223 |
- $550 |
+ $550 |
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 Sean has at first is the same in both cases.
10 u + 223 = 7 u + 550
10 u - 7 u = 550 - 223
3 u = 327
1 u = 327 ÷ 3 = 109
Amount that Sean has
= 10 u + 223
= 10 x 109 + 223
= 1090 + 223
= $1313
Answer(s): $1313
