Ben and Flynn had some stamps in the ratio of 7 : 4. Flynn and Julian had some stamps in the ratio of 5 : 2. Ben sold 300 stamps to Julian and ended up with half the number of stamps Flynn had. How many stamps did Julian have in the end?
| Ben |
Flynn |
Julian |
| 7x5 |
4x5 |
|
| |
5x4 |
2x4 |
| 35 u |
20 u |
8 u |
The number of stamps that Flynn had at first is repeated. Make the number of stamps that Flynn had at first the same. LCM of 4 and 5 is 20.
| |
Ben |
Flynn |
Julian |
| Before |
35 u |
20 u |
8 u |
| Change |
- 300 |
|
+ 300 |
| After |
10 u |
20 u |
8 u + 300 |
Number of stamps that Ben had in the end
= 20 u ÷ 2
= 10 u
Number of stamps that Ben sold to Julian
= 35 u - 10 u
= 25 u
25 u = 300
1 u = 300 ÷ 25 = 12
Number of stamps that Julian had in the end
= 8 u + 300
= 8 x 12 + 300
= 96 + 300
= 396
Answer(s): 396
