The ratio of the number of cookies in Container V to the number of cookies in Container W was 7 : 3. 20% of the cookies in Container V and 0.8 of those in Container W were mocha. After transferring the cookies between the 2 containers, the number of cherry cookies in both containers are the same. Likewise, the number of mocha cookies in both containers are the same. If a total of 252 cookies were moved, how many more cookies were there in Container V than Container W at first?
Container V |
Container W |
7 u |
3 u |
Mocha |
Cherry |
Mocha |
Cherry |
1.4 u |
5.6 u |
2.4 u |
0.6 u |
+ 0.5 u |
- 2.5 u |
- 0.5 u |
+ 2.5 u |
1.9 u |
3.1 u |
1.9 u |
3.1 u |
Number of mocha cookies in Container V
= 20% x 7 u
=
20100 x 7 u
= 1.4 u
Number of cherry cookies in Container V
= 7 u - 1.4 u
= 5.6 u
Number of mocha cookies in Container W
= 0.8 x 3 u
= 2.4 u
Number of cherry cookies in Container W
= 3 u - 2.4 u
= 0.6 u
Number of mocha cookies in each container in the end
= (1.4 u + 2.4 u) ÷ 2
= 3.8 u ÷ 2
= 1.9 u
Number of cherry cookies in each container in the end
= (5.6 u + 0.6 u) ÷ 2
= 6.2 u ÷ 2
= 3.1 u
Number of cookies moved
= 0.5 u + 2.5 u
= 3 u
3 u = 252
1 u = 252 ÷ 3 = 84
Number of more cookies in Container V than Container W at first
= 7 u - 3 u
= 4 u
= 4 x 84
= 336
Answer(s): 336