Ryan, Reggie and Flynn had a total of 81 stickers. The ratio of the number of stickers that Reggie had to the number of stickers that Flynn had was 8 : 3. After Ryan and Reggie each gave away half of their stickers, the 3 children had 51 stickers left. How many stickers did Reggie and Flynn have at first?
| |
Ryan |
Reggie |
Flynn |
Total |
| Before |
2 p |
8 u |
3 u |
81 |
| Change |
- 1 p |
- 4 u |
|
- 30 |
| After |
1 p |
4 u |
3 u |
51 |
Total number of stickers that Ryan and Reggie gave away
= 81 - 51
= 30
1 p + 4 u = 30 --- (1)
1 p + 4 u + 3 u = 51
1 p + 7 u = 51 --- (2)
(2) - (1)
(1 p + 7 u) - (1 p + 4 u) = 51 - 30
7 u - 4 u = 21
3 u = 21
1 u = 21 ÷ 3 = 7
Total number of stickers that Reggie and Flynn had at first
= 8 u + 3 u
= 11 u
= 11 x 7
= 77
Answer(s): 77
