Glen and Vincent have some money. If Glen gives $128 to Vincent, the ratio of their money will be 2 : 5. If Glen gives $635 to Vincent, the ratio of their money will be 1: 4. How much does Glen have?
| |
Case 1 |
Case 2 |
| |
Glen |
Vincent |
Glen |
Vincent |
| Before |
10 u + $128 |
25 u - $128 |
7 u + $635 |
28 u - $635 |
| Change |
- $128 |
+ $128 |
- $635 |
+ $635 |
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 Glen has at first is the same in both cases.
10 u + 128 = 7 u + 635
10 u - 7 u = 635 - 128
3 u = 507
1 u = 507 ÷ 3 = 169
Amount that Glen has
= 10 u + 128
= 10 x 169 + 128
= 1690 + 128
= $1818
Answer(s): $1818
