Vincent and Xavier shared some stamps in the ratio of 5 : 8. After both each gave away 56 stamps to their cousin, the ratio of the number of stamps Vincent had to the total number of stamps left was 1 : 4. How many stamps did the two boys have in the end?
| |
Vincent |
Xavier |
Difference |
| Before |
5x2 =
10 u |
8x2 =
16 u |
3x2 =
6 u |
| Change |
- 56 |
- 56 |
|
| After |
1x3 =
3 u |
3x3 =
9 u |
2x3 =
6 u |
Number of stamps that Vincent and Xavier each gave to their cousin is the same.
The difference in the number of stamps at first and in the end between Vincent and Xavier remains unchanged. Make the difference in the number of stamps the same. LCM of 3 and 2 is 6.
Number of stamps that Vincent gave to their cousin
= 10 u - 3 u
= 7 u
7 u = 56
1 u = 56 ÷ 7 = 8
Number of stamps that the two boys had in the end
= 3 u + 9 u
= 12 u
= 12 x 8
= 96
Answer(s): 96
