The ratio of the number of puffs in Container X to the number of puffs in Container Y was 9 : 5. 20% of the puffs in Container X and 0.6 of those in Container Y were butter cream. After transferring the puffs between the 2 boxes, the number of peach puffs in both boxes are the same. Likewise, the number of butter cream puffs in both boxes are the same. If a total of 176 puffs were moved, how many more puffs were there in Container X than Container Y at first?
Container X |
Container Y |
9 u |
5 u |
Butter Cream |
Peach |
Butter Cream |
Peach |
1.8 u |
7.2 u |
3 u |
2 u |
+ 0.6 u |
- 2.6 u |
- 0.6 u |
+ 2.6 u |
2.4 u |
4.6 u |
2.4 u |
4.6 u |
Number of butter cream puffs in Container X
= 20% x 9 u
=
20100 x 9 u
= 1.8 u
Number of peach puffs in Container X
= 9 u - 1.8 u
= 7.2 u
Number of butter cream puffs in Container Y
= 0.6 x 5 u
= 3 u
Number of peach puffs in Container Y
= 5 u - 3 u
= 2 u
Number of butter cream puffs in each box in the end
= (1.8 u + 3 u) ÷ 2
= 4.8 u ÷ 2
= 2.4 u
Number of peach puffs in each box in the end
= (7.2 u + 2 u) ÷ 2
= 9.2 u ÷ 2
= 4.6 u
Number of puffs moved
= 0.6 u + 2.6 u
= 3.2 u
3.2 u = 176
1 u = 176 ÷ 3.2 = 55
Number of more puffs in Container X than Container Y at first
= 9 u - 5 u
= 4 u
= 4 x 55
= 220
Answer(s): 220