The ratio of the number of puffs in Container W to the number of puffs in Container X was 7 : 3. 30% of the puffs in Container W and 0.9 of those in Container X were strawberry. After transferring the puffs between the 2 containers, the number of matcha puffs in both containers are the same. Likewise, the number of strawberry puffs in both containers are the same. If a total of 234 puffs were moved, how many more puffs were there in Container W than Container X at first?
Container W |
Container X |
7 u |
3 u |
Strawberry |
Matcha |
Strawberry |
Matcha |
2.1 u |
4.9 u |
2.7 u |
0.3 u |
+ 0.3 u |
- 2.3 u |
- 0.3 u |
+ 2.3 u |
2.4 u |
2.6 u |
2.4 u |
2.6 u |
Number of strawberry puffs in Container W
= 30% x 7 u
=
30100 x 7 u
= 2.1 u
Number of matcha puffs in Container W
= 7 u - 2.1 u
= 4.9 u
Number of strawberry puffs in Container X
= 0.9 x 3 u
= 2.7 u
Number of matcha puffs in Container X
= 3 u - 2.7 u
= 0.3 u
Number of strawberry puffs in each container in the end
= (2.1 u + 2.7 u) ÷ 2
= 4.8 u ÷ 2
= 2.4 u
Number of matcha puffs in each container in the end
= (4.9 u + 0.3 u) ÷ 2
= 5.2 u ÷ 2
= 2.6 u
Number of puffs moved
= 0.3 u + 2.3 u
= 2.6 u
2.6 u = 234
1 u = 234 ÷ 2.6 = 90
Number of more puffs in Container W than Container X at first
= 7 u - 3 u
= 4 u
= 4 x 90
= 360
Answer(s): 360