There were some passion fruits and chikoos in Container K and Container L. In Container K, the ratio of the passion fruits to the number of chikoos was 6 : 1. In Container L, the ratio of the number of passion fruits to the number of chikoos was 5 : 2. There were 2 times as many fruits in Container K as in Container L. After another 180 chikoos were put into Container L, the ratio of the number of passion fruits to the number of chikoos in Container L became 1 : 4. How many fruits were there in Container K?
Container K |
Container L |
2x7 = 14 u |
1x7 = 7 u |
Passion fruits |
Chikoos |
Passion fruits |
Chikoos |
6x2 |
1x2 |
5 |
2 |
12 u |
2 u |
5 u |
2 u |
The total number of fruits in Container K is repeated. Make the total number of fruits in Container K the same. LCM of 2 and 7 is 14.
The total number of fruits in Container L at first is repeated. Make the total number of fruits in Container L the same. LCM of 1 and 7 is 7.
|
Container K |
Container L |
|
Passion fruits |
Chikoos |
Passion fruits |
Chikoos |
Before |
12 u |
2 u |
5 u |
2 u |
Change |
|
|
|
+ 180 |
After
|
12 u
|
2 u
|
1x5 = 5 u |
4x5 = 20 u |
Number of passion fruits in Container L remains unchanged. Make the number of passion fruits in Container L the same. LCM of 5 and 1 is 5.
Number of chikoos put into Container L
= 20 u - 2 u
= 18 u
18 u = 180
1 u = 180 ÷ 18 = 10
Number of fruits in Container K
= 12 u + 2 u
= 14 u
= 14 x 10
= 140
Answer(s): 140