A fruit seller sells only chikoos and pomegranates. The ratio of chikoos to pomegranates is 2 : 5. A total of 34 fruits are added. The number of chikoos becomes 2 times as many as before and the number of pomegranates becomes 4 times as many as before. How many fruits are there in the end?
|
Comparing chikoos at first and in the end |
Chikoos |
Pomegranates |
Comparing pomegranates at first and in the end |
Before |
1x2 = 2 u |
2 u |
5 u |
1x5 = 5 u |
Change |
|
+ 34 |
|
After |
2x2 = 4 u |
4 u |
20 u |
4x5 = 20 u |
The number of pomegranates at first is repeated. Make the number of pomegranates at first the same. LCM of 1 and 5 is 5.
The number of chikoos at first is repeated. Make the number of chikoos at first the same. LCM of 1 and 2 is 2.
Number of fruits at first
= 2 u + 5 u
= 7 u
Number of fruits in the end
= 4 u + 20 u
= 24 u
Number of fruits added
= 24 u - 7 u
= 17 u
17 u = 34
1 u = 34 ÷ 17 = 2
Number of fruits in the end
= 24 u
= 24 x 2
= 48
Answer(s): 48