Sean and Tommy had some stamps in the ratio of 10 : 3. Tommy and Nick had some stamps in the ratio of 2 : 1. Sean sold 102 stamps to Nick and ended up with half the number of stamps Tommy had. How many stamps did Nick have in the end?
| Sean |
Tommy |
Nick |
| 10x2 |
3x2 |
|
| |
2x3 |
1x3 |
| 20 u |
6 u |
3 u |
The number of stamps that Tommy had at first is repeated. Make the number of stamps that Tommy had at first the same. LCM of 3 and 2 is 6.
| |
Sean |
Tommy |
Nick |
| Before |
20 u |
6 u |
3 u |
| Change |
- 102 |
|
+ 102 |
| After |
3 u |
6 u |
3 u + 102 |
Number of stamps that Sean had in the end
= 6 u ÷ 2
= 3 u
Number of stamps that Sean sold to Nick
= 20 u - 3 u
= 17 u
17 u = 102
1 u = 102 ÷ 17 = 6
Number of stamps that Nick had in the end
= 3 u + 102
= 3 x 6 + 102
= 18 + 102
= 120
Answer(s): 120
