Neave and Charlie have some money. If Neave gives $193 to Charlie, the ratio of their money will be 2 : 5. If Neave gives $622 to Charlie, the ratio of their money will be 1: 4. How much does Neave have?
|
Case 1 |
Case 2 |
|
Neave |
Charlie |
Neave |
Charlie |
Before |
10 u + $193 |
25 u - $193 |
7 u + $622 |
28 u - $622 |
Change |
- $193 |
+ $193 |
- $622 |
+ $622 |
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 + 193 = 7 u + 622
10 u - 7 u = 622 - 193
3 u = 429
1 u = 429 ÷ 3 = 143
Amount that Neave has
= 10 u + 193
= 10 x 143 + 193
= 1430 + 193
= $1623
Answer(s): $1623