Glen and John have some money. If Glen gives $220 to John, the ratio of their money will be 2 : 5. If Glen gives $694 to John, the ratio of their money will be 1: 4. How much does Glen have?
|
Case 1 |
Case 2 |
|
Glen |
John |
Glen |
John |
Before |
10 u + $220 |
25 u - $220 |
7 u + $694 |
28 u - $694 |
Change |
- $220 |
+ $220 |
- $694 |
+ $694 |
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 + 220 = 7 u + 694
10 u - 7 u = 694 - 220
3 u = 474
1 u = 474 ÷ 3 = 158
Amount that Glen has
= 10 u + 220
= 10 x 158 + 220
= 1580 + 220
= $1800
Answer(s): $1800