There were some starfruits and lemons in Container E and Container F. In Container E, the ratio of the starfruits to the number of lemons was 7 : 1. In Container F, the ratio of the number of starfruits to the number of lemons was 5 : 3. There were 2 times as many fruits in Container E as in Container F. After another 48 lemons were put into Container F, the ratio of the number of starfruits to the number of lemons in Container F became 1 : 3. How many fruits were there in Container E?
Container E |
Container F |
2x8 = 16 u |
1x8 = 8 u |
Starfruits |
Lemons |
Starfruits |
Lemons |
7x2 |
1x2 |
5 |
3 |
14 u |
2 u |
5 u |
3 u |
The total number of fruits in Container E is repeated. Make the total number of fruits in Container E the same. LCM of 2 and 8 is 16.
The total number of fruits in Container F at first is repeated. Make the total number of fruits in Container F the same. LCM of 1 and 8 is 8.
|
Container E |
Container F |
|
Starfruits |
Lemons |
Starfruits |
Lemons |
Before |
14 u |
2 u |
5 u |
3 u |
Change |
|
|
|
+ 48 |
After
|
14 u
|
2 u
|
1x5 = 5 u |
3x5 = 15 u |
Number of starfruits in Container F remains unchanged. Make the number of starfruits in Container F the same. LCM of 5 and 1 is 5.
Number of lemons put into Container F
= 15 u - 3 u
= 12 u
12 u = 48
1 u = 48 ÷ 12 = 4
Number of fruits in Container E
= 14 u + 2 u
= 16 u
= 16 x 4
= 64
Answer(s): 64