There were some chikoos and pomegranates in Box Q and Box R. In Box Q, the ratio of the chikoos to the number of pomegranates was 4 : 1. In Box R, the ratio of the number of chikoos to the number of pomegranates was 3 : 2. There were 3 times as many fruits in Box Q as in Box R. After another 20 pomegranates were put into Box R, the ratio of the number of chikoos to the number of pomegranates in Box R became 1 : 2. How many fruits were there in Box R in the end?
| Box Q |
Box R |
3x5 =
15 u |
1x5 =
5 u |
| Chikoos |
Pomegranates |
Chikoos |
Pomegranates |
| 4x3 |
1x3 |
3 |
2 |
| 12 u |
3 u |
3 u |
2 u |
The total number of fruits in Box Q is repeated. Make the total number of fruits in Box Q the same. LCM of 3 and 5 is 15.
The total number of fruits in Box R at first is repeated. Make the total number of fruits in Box R the same. LCM of 1 and 5 is 5.
| |
Box Q |
Box R |
| |
Chikoos |
Pomegranates |
Chikoos |
Pomegranates |
| Before |
12 u |
3 u |
3 u |
2 u |
| Change |
|
|
|
+ 20 |
After
|
12 u
|
3 u
|
1x3 =
3 u |
2x3 =
6 u |
Number of chikoos in Box R remains unchanged. Make the number of chikoos in Box R the same. LCM of 3 and 1 is 3.
Number of pomegranates put into Box R
= 6 u - 2 u
= 4 u
4 u = 20
1 u = 20 ÷ 4 = 5
Number of fruits in Box R in the end
= 3 u + 6 u
= 9 u
= 9 x 5
= 45
Answer(s): 45
