Vaidev and Asher had some stamps in the ratio of 5 : 4. Asher and Cody had some stamps in the ratio of 6 : 5. Vaidev sold 99 stamps to Cody and ended up with half the number of stamps Asher had. How many stamps did Cody have in the end?
| Vaidev |
Asher |
Cody |
| 5x3 |
4x3 |
|
| |
6x2 |
5x2 |
| 15 u |
12 u |
10 u |
The number of stamps that Asher had at first is repeated. Make the number of stamps that Asher had at first the same. LCM of 4 and 6 is 12.
| |
Vaidev |
Asher |
Cody |
| Before |
15 u |
12 u |
10 u |
| Change |
- 99 |
|
+ 99 |
| After |
6 u |
12 u |
10 u + 99 |
Number of stamps that Vaidev had in the end
= 12 u ÷ 2
= 6 u
Number of stamps that Vaidev sold to Cody
= 15 u - 6 u
= 9 u
9 u = 99
1 u = 99 ÷ 9 = 11
Number of stamps that Cody had in the end
= 10 u + 99
= 10 x 11 + 99
= 110 + 99
= 209
Answer(s): 209
