Carl, Neave and Brandon had a total of 82 stamps. The ratio of the number of stamps that Neave had to the number of stamps that Brandon had was 4 : 3. After Carl and Neave each gave away half of their stamps, the 3 children had 56 stamps left. How many stamps did Neave and Brandon have in the end?
| |
Carl |
Neave |
Brandon |
Total |
| Before |
2 p |
4 u |
3 u |
82 |
| Change |
- 1 p |
- 2 u |
|
- 26 |
| After |
1 p |
2 u |
3 u |
56 |
Total number of stamps that Carl and Neave gave away
= 82 - 56
= 26
1 p + 2 u = 26 --- (1)
1 p + 2 u + 3 u = 56
1 p + 5 u = 56 --- (2)
(2) - (1)
(1 p + 5 u) - (1 p + 2 u) = 56 - 26
5 u - 2 u = 30
3 u = 30
1 u = 30 ÷ 3 = 10
Total number of stamps that Neave and Brandon had in the end
= 2 u + 3 u
= 5 u
= 5 x 10
= 50
Answer(s): 50
