There were some mangosteens and pomegranates in Container G and Container H. In Container G, the ratio of the mangosteens to the number of pomegranates was 7 : 1. In Container H, the ratio of the number of mangosteens to the number of pomegranates was 5 : 3. There were 2 times as many fruits in Container G as in Container H. After another 35 pomegranates were put into Container H, the ratio of the number of mangosteens to the number of pomegranates in Container H became 1 : 2. How many fruits were there in Container G?
Container G |
Container H |
2x8 = 16 u |
1x8 = 8 u |
Mangosteens |
Pomegranates |
Mangosteens |
Pomegranates |
7x2 |
1x2 |
5 |
3 |
14 u |
2 u |
5 u |
3 u |
The total number of fruits in Container G is repeated. Make the total number of fruits in Container G the same. LCM of 2 and 8 is 16.
The total number of fruits in Container H at first is repeated. Make the total number of fruits in Container H the same. LCM of 1 and 8 is 8.
|
Container G |
Container H |
|
Mangosteens |
Pomegranates |
Mangosteens |
Pomegranates |
Before |
14 u |
2 u |
5 u |
3 u |
Change |
|
|
|
+ 35 |
After
|
14 u
|
2 u
|
1x5 = 5 u |
2x5 = 10 u |
Number of mangosteens in Container H remains unchanged. Make the number of mangosteens in Container H the same. LCM of 5 and 1 is 5.
Number of pomegranates put into Container H
= 10 u - 3 u
= 7 u
7 u = 35
1 u = 35 ÷ 7 = 5
Number of fruits in Container G
= 14 u + 2 u
= 16 u
= 16 x 5
= 80
Answer(s): 80