Dylan and Oscar shared some stamps in the ratio of 5 : 7. After both each gave away 156 stamps to their cousin, the ratio of the number of stamps Dylan had to the total number of stamps left was 1 : 5. How many stamps did the two boys have in the end?
| |
Dylan |
Oscar |
Difference |
| Before |
5x3 =
15 u |
7x3 =
21 u |
2x3 =
6 u |
| Change |
- 156 |
- 156 |
|
| After |
1x2 =
2 u |
4x2 =
8 u |
3x2 =
6 u |
Number of stamps that Dylan and Oscar each gave to their cousin is the same.
The difference in the number of stamps at first and in the end between Dylan and Oscar remains unchanged. Make the difference in the number of stamps the same. LCM of 2 and 3 is 6.
Number of stamps that Dylan gave to their cousin
= 15 u - 2 u
= 13 u
13 u = 156
1 u = 156 ÷ 13 = 12
Number of stamps that the two boys had in the end
= 2 u + 8 u
= 10 u
= 10 x 12
= 120
Answer(s): 120
