Billy and Neave have some money. If Billy gives $368 to Neave, the ratio of their money will be 3 : 5. If Billy gives $655 to Neave, the ratio of their money will be 1: 4. How much does Billy have?
| |
Case 1 |
Case 2 |
| |
Billy |
Neave |
Billy |
Neave |
| Before |
15 u + $368 |
25 u - $368 |
8 u + $655 |
32 u - $655 |
| Change |
- $368 |
+ $368 |
- $655 |
+ $655 |
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 Billy has at first is the same in both cases.
15 u + 368 = 8 u + 655
15 u - 8 u = 655 - 368
7 u = 287
1 u = 287 ÷ 7 = 41
Amount that Billy has
= 15 u + 368
= 15 x 41 + 368
= 615 + 368
= $983
Answer(s): $983
