There were some lemons and chikoos in Box A and Box B. In Box A, the ratio of the lemons to the number of chikoos was 6 : 1. In Box B, the ratio of the number of lemons to the number of chikoos was 5 : 2. There were 2 times as many fruits in Box A as in Box B. After another 108 chikoos were put into Box B, the ratio of the number of lemons to the number of chikoos in Box B became 1 : 4. How many fruits were there in Box B in the end?
Box A |
Box B |
2x7 = 14 u |
1x7 = 7 u |
Lemons |
Chikoos |
Lemons |
Chikoos |
6x2 |
1x2 |
5 |
2 |
12 u |
2 u |
5 u |
2 u |
The total number of fruits in Box A is repeated. Make the total number of fruits in Box A the same. LCM of 2 and 7 is 14.
The total number of fruits in Box B at first is repeated. Make the total number of fruits in Box B the same. LCM of 1 and 7 is 7.
|
Box A |
Box B |
|
Lemons |
Chikoos |
Lemons |
Chikoos |
Before |
12 u |
2 u |
5 u |
2 u |
Change |
|
|
|
+ 108 |
After
|
12 u
|
2 u
|
1x5 = 5 u |
4x5 = 20 u |
Number of lemons in Box B remains unchanged. Make the number of lemons in Box B the same. LCM of 5 and 1 is 5.
Number of chikoos put into Box B
= 20 u - 2 u
= 18 u
18 u = 108
1 u = 108 ÷ 18 = 6
Number of fruits in Box B in the end
= 5 u + 20 u
= 25 u
= 25 x 6
= 150
Answer(s): 150