There were some mangosteens and chikoos in Container V and Container W. In Container V, the ratio of the mangosteens to the number of chikoos was 6 : 1. In Container W, the ratio of the number of mangosteens to the number of chikoos was 5 : 2. There were 2 times as many fruits in Container V as in Container W. After another 80 chikoos were put into Container W, the ratio of the number of mangosteens to the number of chikoos in Container W became 1 : 2. How many fruits were there in Container V?
Container V |
Container W |
2x7 = 14 u |
1x7 = 7 u |
Mangosteens |
Chikoos |
Mangosteens |
Chikoos |
6x2 |
1x2 |
5 |
2 |
12 u |
2 u |
5 u |
2 u |
The total number of fruits in Container V is repeated. Make the total number of fruits in Container V the same. LCM of 2 and 7 is 14.
The total number of fruits in Container W at first is repeated. Make the total number of fruits in Container W the same. LCM of 1 and 7 is 7.
|
Container V |
Container W |
|
Mangosteens |
Chikoos |
Mangosteens |
Chikoos |
Before |
12 u |
2 u |
5 u |
2 u |
Change |
|
|
|
+ 80 |
After
|
12 u
|
2 u
|
1x5 = 5 u |
2x5 = 10 u |
Number of mangosteens in Container W remains unchanged. Make the number of mangosteens in Container W the same. LCM of 5 and 1 is 5.
Number of chikoos put into Container W
= 10 u - 2 u
= 8 u
8 u = 80
1 u = 80 ÷ 8 = 10
Number of fruits in Container V
= 12 u + 2 u
= 14 u
= 14 x 10
= 140
Answer(s): 140