Asher, Reggie and Archie had a total of 20 stickers. The ratio of the number of stickers that Reggie had to the number of stickers that Archie had was 4 : 3. After Asher and Reggie each gave away half of their stickers, the 3 children had 13 stickers left. How many stickers did Reggie and Archie have in the end?
| |
Asher |
Reggie |
Archie |
Total |
| Before |
2 p |
4 u |
3 u |
20 |
| Change |
- 1 p |
- 2 u |
|
- 7 |
| After |
1 p |
2 u |
3 u |
13 |
Total number of stickers that Asher and Reggie gave away
= 20 - 13
= 7
1 p + 2 u = 7 --- (1)
1 p + 2 u + 3 u = 13
1 p + 5 u = 13 --- (2)
(2) - (1)
(1 p + 5 u) - (1 p + 2 u) = 13 - 7
5 u - 2 u = 6
3 u = 6
1 u = 6 ÷ 3 = 2
Total number of stickers that Reggie and Archie had in the end
= 2 u + 3 u
= 5 u
= 5 x 2
= 10
Answer(s): 10
