Tim and Fabian had some stamps in the ratio of 7 : 6. Fabian and Jeremy had some stamps in the ratio of 5 : 2. Tim sold 140 stamps to Jeremy and ended up with half the number of stamps Fabian had. How many stamps did Jeremy have in the end?
| Tim |
Fabian |
Jeremy |
| 7x5 |
6x5 |
|
| |
5x6 |
2x6 |
| 35 u |
30 u |
12 u |
The number of stamps that Fabian had at first is repeated. Make the number of stamps that Fabian had at first the same. LCM of 6 and 5 is 30.
| |
Tim |
Fabian |
Jeremy |
| Before |
35 u |
30 u |
12 u |
| Change |
- 140 |
|
+ 140 |
| After |
15 u |
30 u |
12 u + 140 |
Number of stamps that Tim had in the end
= 30 u ÷ 2
= 15 u
Number of stamps that Tim sold to Jeremy
= 35 u - 15 u
= 20 u
20 u = 140
1 u = 140 ÷ 20 = 7
Number of stamps that Jeremy had in the end
= 12 u + 140
= 12 x 7 + 140
= 84 + 140
= 224
Answer(s): 224
