Glen and Jeremy have some money. If Glen gives $216 to Jeremy, the ratio of their money will be 2 : 5. If Glen gives $510 to Jeremy, the ratio of their money will be 1: 4. How much does Glen have?
| |
Case 1 |
Case 2 |
| |
Glen |
Jeremy |
Glen |
Jeremy |
| Before |
10 u + $216 |
25 u - $216 |
7 u + $510 |
28 u - $510 |
| Change |
- $216 |
+ $216 |
- $510 |
+ $510 |
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 + 216 = 7 u + 510
10 u - 7 u = 510 - 216
3 u = 294
1 u = 294 ÷ 3 = 98
Amount that Glen has
= 10 u + 216
= 10 x 98 + 216
= 980 + 216
= $1196
Answer(s): $1196
