The ratio of the number of puffs in Container F to the number of puffs in Container G was 7 : 5. 40% of the puffs in Container F and 0.8 of those in Container G were vanilla. After transferring the puffs between the 2 boxes, the number of chocolate puffs in both boxes are the same. Likewise, the number of vanilla puffs in both boxes are the same. If a total of 264 puffs were moved, how many more puffs were there in Container F than Container G at first?
Container F |
Container G |
7 u |
5 u |
Vanilla |
Chocolate |
Vanilla |
Chocolate |
2.8 u |
4.2 u |
4 u |
1 u |
+ 0.6 u |
- 1.6 u |
- 0.6 u |
+ 1.6 u |
3.4 u |
2.6 u |
3.4 u |
2.6 u |
Number of vanilla puffs in Container F
= 40% x 7 u
=
40100 x 7 u
= 2.8 u
Number of chocolate puffs in Container F
= 7 u - 2.8 u
= 4.2 u
Number of vanilla puffs in Container G
= 0.8 x 5 u
= 4 u
Number of chocolate puffs in Container G
= 5 u - 4 u
= 1 u
Number of vanilla puffs in each box in the end
= (2.8 u + 4 u) ÷ 2
= 6.8 u ÷ 2
= 3.4 u
Number of chocolate puffs in each box in the end
= (4.2 u + 1 u) ÷ 2
= 5.2 u ÷ 2
= 2.6 u
Number of puffs moved
= 0.6 u + 1.6 u
= 2.2 u
2.2 u = 264
1 u = 264 ÷ 2.2 = 120
Number of more puffs in Container F than Container G at first
= 7 u - 5 u
= 2 u
= 2 x 120
= 240
Answer(s): 240