Seth and Owen have some money. If Seth gives $196 to Owen, the ratio of their money will be 2 : 5. If Seth gives $553 to Owen, the ratio of their money will be 1: 4. How much does Seth have?
| |
Case 1 |
Case 2 |
| |
Seth |
Owen |
Seth |
Owen |
| Before |
10 u + $196 |
25 u - $196 |
7 u + $553 |
28 u - $553 |
| Change |
- $196 |
+ $196 |
- $553 |
+ $553 |
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 Seth has at first is the same in both cases.
10 u + 196 = 7 u + 553
10 u - 7 u = 553 - 196
3 u = 357
1 u = 357 ÷ 3 = 119
Amount that Seth has
= 10 u + 196
= 10 x 119 + 196
= 1190 + 196
= $1386
Answer(s): $1386
