The ratio of the number of puffs in Container L to the number of puffs in Container M was 9 : 5. 20% of the puffs in Container L and 0.8 of those in Container M were butter cream. After transferring the puffs between the 2 boxes, the number of strawberry puffs in both boxes are the same. Likewise, the number of butter cream puffs in both boxes are the same. If a total of 210 puffs were moved, how many more puffs were there in Container L than Container M at first?
Container L |
Container M |
9 u |
5 u |
Butter Cream |
Strawberry |
Butter Cream |
Strawberry |
1.8 u |
7.2 u |
4 u |
1 u |
+ 1.1 u |
- 3.1 u |
- 1.1 u |
+ 3.1 u |
2.9 u |
4.1 u |
2.9 u |
4.1 u |
Number of butter cream puffs in Container L
= 20% x 9 u
=
20100 x 9 u
= 1.8 u
Number of strawberry puffs in Container L
= 9 u - 1.8 u
= 7.2 u
Number of butter cream puffs in Container M
= 0.8 x 5 u
= 4 u
Number of strawberry puffs in Container M
= 5 u - 4 u
= 1 u
Number of butter cream puffs in each box in the end
= (1.8 u + 4 u) ÷ 2
= 5.8 u ÷ 2
= 2.9 u
Number of strawberry puffs in each box in the end
= (7.2 u + 1 u) ÷ 2
= 8.2 u ÷ 2
= 4.1 u
Number of puffs moved
= 1.1 u + 3.1 u
= 4.2 u
4.2 u = 210
1 u = 210 ÷ 4.2 = 50
Number of more puffs in Container L than Container M at first
= 9 u - 5 u
= 4 u
= 4 x 50
= 200
Answer(s): 200