The ratio of the number of wafers in Container C to the number of wafers in Container D was 7 : 5. 40% of the wafers in Container C and 0.8 of those in Container D were mocha. After transferring the wafers between the 2 containers, the number of mango wafers in both containers are the same. Likewise, the number of mocha wafers in both containers are the same. If a total of 220 wafers were moved, how many more wafers were there in Container C than Container D at first?
Container C |
Container D |
7 u |
5 u |
Mocha |
Mango |
Mocha |
Mango |
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 mocha wafers in Container C
= 40% x 7 u
=
40100 x 7 u
= 2.8 u
Number of mango wafers in Container C
= 7 u - 2.8 u
= 4.2 u
Number of mocha wafers in Container D
= 0.8 x 5 u
= 4 u
Number of mango wafers in Container D
= 5 u - 4 u
= 1 u
Number of mocha wafers in each container in the end
= (2.8 u + 4 u) ÷ 2
= 6.8 u ÷ 2
= 3.4 u
Number of mango wafers in each container in the end
= (4.2 u + 1 u) ÷ 2
= 5.2 u ÷ 2
= 2.6 u
Number of wafers moved
= 0.6 u + 1.6 u
= 2.2 u
2.2 u = 220
1 u = 220 ÷ 2.2 = 100
Number of more wafers in Container C than Container D at first
= 7 u - 5 u
= 2 u
= 2 x 100
= 200
Answer(s): 200