Cody, Fabian and Vincent had a total of 32 stamps. The ratio of the number of stamps that Fabian had to the number of stamps that Vincent had was 2 : 5. After Cody and Fabian each gave away half of their stamps, the 3 children had 26 stamps left. How many stamps did Fabian and Vincent have at first?
| |
Cody |
Fabian |
Vincent |
Total |
| Before |
2 p |
2 u |
5 u |
32 |
| Change |
- 1 p |
- 1 u |
|
- 6 |
| After |
1 p |
1 u |
5 u |
26 |
Total number of stamps that Cody and Fabian gave away
= 32 - 26
= 6
1 p + 1 u = 6 --- (1)
1 p + 1 u + 5 u = 26
1 p + 6 u = 26 --- (2)
(2) - (1)
(1 p + 6 u) - (1 p + 1 u) = 26 - 6
6 u - 1 u = 20
5 u = 20
1 u = 20 ÷ 5 = 4
Total number of stamps that Fabian and Vincent had at first
= 2 u + 5 u
= 7 u
= 7 x 4
= 28
Answer(s): 28
