Lee and Neave have some money. If Lee gives $274 to Neave, the ratio of their money will be 2 : 5. If Lee gives $514 to Neave, the ratio of their money will be 1: 4. How much does Lee have?
| |
Case 1 |
Case 2 |
| |
Lee |
Neave |
Lee |
Neave |
| Before |
10 u + $274 |
25 u - $274 |
7 u + $514 |
28 u - $514 |
| Change |
- $274 |
+ $274 |
- $514 |
+ $514 |
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 Lee has at first is the same in both cases.
10 u + 274 = 7 u + 514
10 u - 7 u = 514 - 274
3 u = 240
1 u = 240 ÷ 3 = 80
Amount that Lee has
= 10 u + 274
= 10 x 80 + 274
= 800 + 274
= $1074
Answer(s): $1074
