There were some chikoos and apples in Container C and Container D. In Container C, the ratio of the chikoos to the number of apples was 5 : 1. In Container D, the ratio of the number of chikoos to the number of apples was 3 : 1. There were 3 times as many fruits in Container C as in Container D. After another 55 apples were put into Container D, the ratio of the number of chikoos to the number of apples in Container D became 1 : 4. How many fruits were there in Container D in the end?
Container C |
Container D |
3x4 = 12 u |
1x4 = 4 u |
Chikoos |
Apples |
Chikoos |
Apples |
5x2 |
1x2 |
3 |
1 |
10 u |
2 u |
3 u |
1 u |
The total number of fruits in Container C is repeated. Make the total number of fruits in Container C the same. LCM of 3 and 6 is 12.
The total number of fruits in Container D at first is repeated. Make the total number of fruits in Container D the same. LCM of 1 and 4 is 4.
|
Container C |
Container D |
|
Chikoos |
Apples |
Chikoos |
Apples |
Before |
10 u |
2 u |
3 u |
1 u |
Change |
|
|
|
+ 55 |
After
|
10 u
|
2 u
|
1x3 = 3 u |
4x3 = 12 u |
Number of chikoos in Container D remains unchanged. Make the number of chikoos in Container D the same. LCM of 3 and 1 is 3.
Number of apples put into Container D
= 12 u - 1 u
= 11 u
11 u = 55
1 u = 55 ÷ 11 = 5
Number of fruits in Container D in the end
= 3 u + 12 u
= 15 u
= 15 x 5
= 75
Answer(s): 75