Simon and Vincent have some money. If Simon gives $235 to Vincent, the ratio of their money will be 2 : 5. If Simon gives $526 to Vincent, the ratio of their money will be 1: 4. How much does Simon have?
|
Case 1 |
Case 2 |
|
Simon |
Vincent |
Simon |
Vincent |
Before |
10 u + $235 |
25 u - $235 |
7 u + $526 |
28 u - $526 |
Change |
- $235 |
+ $235 |
- $526 |
+ $526 |
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 Simon has at first is the same in both cases.
10 u + 235 = 7 u + 526
10 u - 7 u = 526 - 235
3 u = 291
1 u = 291 ÷ 3 = 97
Amount that Simon has
= 10 u + 235
= 10 x 97 + 235
= 970 + 235
= $1205
Answer(s): $1205