John, Eric and Billy had a total of 87 stickers. The ratio of the number of stickers that Eric had to the number of stickers that Billy had was 6 : 5. After John and Eric each gave away half of their stickers, the 3 children had 61 stickers left. How many stickers did Eric and Billy have in the end?
| |
John |
Eric |
Billy |
Total |
| Before |
2 p |
6 u |
5 u |
87 |
| Change |
- 1 p |
- 3 u |
|
- 26 |
| After |
1 p |
3 u |
5 u |
61 |
Total number of stickers that John and Eric gave away
= 87 - 61
= 26
1 p + 3 u = 26 --- (1)
1 p + 3 u + 5 u = 61
1 p + 8 u = 61 --- (2)
(2) - (1)
(1 p + 8 u) - (1 p + 3 u) = 61 - 26
8 u - 3 u = 35
5 u = 35
1 u = 35 ÷ 5 = 7
Total number of stickers that Eric and Billy had in the end
= 3 u + 5 u
= 8 u
= 8 x 7
= 56
Answer(s): 56
