Neave and Fabian have some money. If Neave gives $287 to Fabian, the ratio of their money will be 2 : 5. If Neave gives $698 to Fabian, the ratio of their money will be 1: 4. How much does Neave have?
| |
Case 1 |
Case 2 |
| |
Neave |
Fabian |
Neave |
Fabian |
| Before |
10 u + $287 |
25 u - $287 |
7 u + $698 |
28 u - $698 |
| Change |
- $287 |
+ $287 |
- $698 |
+ $698 |
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 Neave has at first is the same in both cases.
10 u + 287 = 7 u + 698
10 u - 7 u = 698 - 287
3 u = 411
1 u = 411 ÷ 3 = 137
Amount that Neave has
= 10 u + 287
= 10 x 137 + 287
= 1370 + 287
= $1657
Answer(s): $1657
