The ratio of the number of puffs in Container K to the number of puffs in Container L was 7 : 5. 10% of the puffs in Container K and 0.7 of those in Container L were strawberry. After transferring the puffs between the 2 boxes, the number of matcha puffs in both boxes are the same. Likewise, the number of strawberry puffs in both boxes are the same. If a total of 247 puffs were moved, how many more puffs were there in Container K than Container L at first?
Container K |
Container L |
7 u |
5 u |
Strawberry |
Matcha |
Strawberry |
Matcha |
0.7 u |
6.3 u |
3.5 u |
1.5 u |
+ 1.4 u |
- 2.4 u |
- 1.4 u |
+ 2.4 u |
2.1 u |
3.9 u |
2.1 u |
3.9 u |
Number of strawberry puffs in Container K
= 10% x 7 u
=
10100 x 7 u
= 0.7 u
Number of matcha puffs in Container K
= 7 u - 0.7 u
= 6.3 u
Number of strawberry puffs in Container L
= 0.7 x 5 u
= 3.5 u
Number of matcha puffs in Container L
= 5 u - 3.5 u
= 1.5 u
Number of strawberry puffs in each box in the end
= (0.7 u + 3.5 u) ÷ 2
= 4.2 u ÷ 2
= 2.1 u
Number of matcha puffs in each box in the end
= (6.3 u + 1.5 u) ÷ 2
= 7.8 u ÷ 2
= 3.9 u
Number of puffs moved
= 1.4 u + 2.4 u
= 3.8 u
3.8 u = 247
1 u = 247 ÷ 3.8 = 65
Number of more puffs in Container K than Container L at first
= 7 u - 5 u
= 2 u
= 2 x 65
= 130
Answer(s): 130