Riordan and Oliver had some stamps in the ratio of 5 : 4. Oliver and Glen had some stamps in the ratio of 5 : 2. Riordan sold 105 stamps to Glen and ended up with half the number of stamps Oliver had. How many stamps did Glen have in the end?
| Riordan |
Oliver |
Glen |
| 5x5 |
4x5 |
|
| |
5x4 |
2x4 |
| 25 u |
20 u |
8 u |
The number of stamps that Oliver had at first is repeated. Make the number of stamps that Oliver had at first the same. LCM of 4 and 5 is 20.
| |
Riordan |
Oliver |
Glen |
| Before |
25 u |
20 u |
8 u |
| Change |
- 105 |
|
+ 105 |
| After |
10 u |
20 u |
8 u + 105 |
Number of stamps that Riordan had in the end
= 20 u ÷ 2
= 10 u
Number of stamps that Riordan sold to Glen
= 25 u - 10 u
= 15 u
15 u = 105
1 u = 105 ÷ 15 = 7
Number of stamps that Glen had in the end
= 8 u + 105
= 8 x 7 + 105
= 56 + 105
= 161
Answer(s): 161
