Sean, Tommy and Neave had a total of 127 stamps. The ratio of the number of stamps that Tommy had to the number of stamps that Neave had was 4 : 7. After Sean and Tommy each gave away half of their stamps, the 3 children had 102 stamps left. How many stamps did Tommy and Neave have in the end?
| |
Sean |
Tommy |
Neave |
Total |
| Before |
2 p |
4 u |
7 u |
127 |
| Change |
- 1 p |
- 2 u |
|
- 25 |
| After |
1 p |
2 u |
7 u |
102 |
Total number of stamps that Sean and Tommy gave away
= 127 - 102
= 25
1 p + 2 u = 25 --- (1)
1 p + 2 u + 7 u = 102
1 p + 9 u = 102 --- (2)
(2) - (1)
(1 p + 9 u) - (1 p + 2 u) = 102 - 25
9 u - 2 u = 77
7 u = 77
1 u = 77 ÷ 7 = 11
Total number of stamps that Tommy and Neave had in the end
= 2 u + 7 u
= 9 u
= 9 x 11
= 99
Answer(s): 99
