Oliver and Neave have some money. If Oliver gives $171 to Neave, the ratio of their money will be 3 : 5. If Oliver gives $661 to Neave, the ratio of their money will be 1: 4. How much does Oliver have?
| |
Case 1 |
Case 2 |
| |
Oliver |
Neave |
Oliver |
Neave |
| Before |
15 u + $171 |
25 u - $171 |
8 u + $661 |
32 u - $661 |
| Change |
- $171 |
+ $171 |
- $661 |
+ $661 |
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 Oliver has at first is the same in both cases.
15 u + 171 = 8 u + 661
15 u - 8 u = 661 - 171
7 u = 490
1 u = 490 ÷ 7 = 70
Amount that Oliver has
= 15 u + 171
= 15 x 70 + 171
= 1050 + 171
= $1221
Answer(s): $1221
