The ratio of the number of puffs in Container A to the number of puffs in Container B was 9 : 5. 40% of the puffs in Container A and 0.8 of those in Container B were butter cream. After transferring the puffs between the 2 containers, the number of chocolate puffs in both containers are the same. Likewise, the number of butter cream puffs in both containers are the same. If a total of 192 puffs were moved, how many more puffs were there in Container A than Container B at first?
Container A |
Container B |
9 u |
5 u |
Butter Cream |
Chocolate |
Butter Cream |
Chocolate |
3.6 u |
5.4 u |
4 u |
1 u |
+ 0.2 u |
- 2.2 u |
- 0.2 u |
+ 2.2 u |
3.8 u |
3.2 u |
3.8 u |
3.2 u |
Number of butter cream puffs in Container A
= 40% x 9 u
=
40100 x 9 u
= 3.6 u
Number of chocolate puffs in Container A
= 9 u - 3.6 u
= 5.4 u
Number of butter cream puffs in Container B
= 0.8 x 5 u
= 4 u
Number of chocolate puffs in Container B
= 5 u - 4 u
= 1 u
Number of butter cream puffs in each container in the end
= (3.6 u + 4 u) ÷ 2
= 7.6 u ÷ 2
= 3.8 u
Number of chocolate puffs in each container in the end
= (5.4 u + 1 u) ÷ 2
= 6.4 u ÷ 2
= 3.2 u
Number of puffs moved
= 0.2 u + 2.2 u
= 2.4 u
2.4 u = 192
1 u = 192 ÷ 2.4 = 80
Number of more puffs in Container A than Container B at first
= 9 u - 5 u
= 4 u
= 4 x 80
= 320
Answer(s): 320