Neave and Zeph have some money. If Neave gives $189 to Zeph, the ratio of their money will be 3 : 5. If Neave gives $693 to Zeph, the ratio of their money will be 1: 4. How much does Neave have?
| |
Case 1 |
Case 2 |
| |
Neave |
Zeph |
Neave |
Zeph |
| Before |
15 u + $189 |
25 u - $189 |
8 u + $693 |
32 u - $693 |
| Change |
- $189 |
+ $189 |
- $693 |
+ $693 |
After
|
3x5 =
15 u |
5x5 =
25 u |
1x8 =
8 u |
4x8 =
32 u |
The total amounts in both cases remain unchanged. Make the total amounts in both cases the same. LCM of 8 and 5 is 40.
The amount that Neave has at first is the same in both cases.
15 u + 189 = 8 u + 693
15 u - 8 u = 693 - 189
7 u = 504
1 u = 504 ÷ 7 = 72
Amount that Neave has
= 15 u + 189
= 15 x 72 + 189
= 1080 + 189
= $1269
Answer(s): $1269
