Will and George have some money. If Will gives $160 to George, the ratio of their money will be 2 : 5. If Will gives $658 to George, the ratio of their money will be 1: 4. How much does Will have?
| |
Case 1 |
Case 2 |
| |
Will |
George |
Will |
George |
| Before |
10 u + $160 |
25 u - $160 |
7 u + $658 |
28 u - $658 |
| Change |
- $160 |
+ $160 |
- $658 |
+ $658 |
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 Will has at first is the same in both cases.
10 u + 160 = 7 u + 658
10 u - 7 u = 658 - 160
3 u = 498
1 u = 498 ÷ 3 = 166
Amount that Will has
= 10 u + 160
= 10 x 166 + 160
= 1660 + 160
= $1820
Answer(s): $1820
