There were some starfruits and pomegranates in Container F and Container G. In Container F, the ratio of the starfruits to the number of pomegranates was 7 : 1. In Container G, the ratio of the number of starfruits to the number of pomegranates was 5 : 3. There were 2 times as many fruits in Container F as in Container G. After another 36 pomegranates were put into Container G, the ratio of the number of starfruits to the number of pomegranates in Container G became 1 : 3. How many fruits were there in Container F?
Container F |
Container G |
2x8 = 16 u |
1x8 = 8 u |
Starfruits |
Pomegranates |
Starfruits |
Pomegranates |
7x2 |
1x2 |
5 |
3 |
14 u |
2 u |
5 u |
3 u |
The total number of fruits in Container F is repeated. Make the total number of fruits in Container F the same. LCM of 2 and 8 is 16.
The total number of fruits in Container G at first is repeated. Make the total number of fruits in Container G the same. LCM of 1 and 8 is 8.
|
Container F |
Container G |
|
Starfruits |
Pomegranates |
Starfruits |
Pomegranates |
Before |
14 u |
2 u |
5 u |
3 u |
Change |
|
|
|
+ 36 |
After
|
14 u
|
2 u
|
1x5 = 5 u |
3x5 = 15 u |
Number of starfruits in Container G remains unchanged. Make the number of starfruits in Container G the same. LCM of 5 and 1 is 5.
Number of pomegranates put into Container G
= 15 u - 3 u
= 12 u
12 u = 36
1 u = 36 ÷ 12 = 3
Number of fruits in Container F
= 14 u + 2 u
= 16 u
= 16 x 3
= 48
Answer(s): 48