A fruit seller sells only chikoos and pomegranates. The ratio of chikoos to pomegranates is 3 : 4. A total of 42 fruits are added. The number of chikoos becomes 3 times as many as before and the number of pomegranates becomes 3 times as many as before. How many fruits are there at first?
|
Comparing chikoos at first and in the end |
Chikoos |
Pomegranates |
Comparing pomegranates at first and in the end |
Before |
1x3 = 3 u |
3 u |
4 u |
1x4 = 4 u |
Change |
|
+ 42 |
|
After |
3x3 = 9 u |
9 u |
12 u |
3x4 = 12 u |
The number of pomegranates at first is repeated. Make the number of pomegranates at first the same. LCM of 1 and 4 is 4.
The number of chikoos at first is repeated. Make the number of chikoos at first the same. LCM of 1 and 3 is 3.
Number of fruits at first
= 3 u + 4 u
= 7 u
Number of fruits in the end
= 9 u + 12 u
= 21 u
Number of fruits added
= 21 u - 7 u
= 14 u
14 u = 42
1 u = 42 ÷ 14 = 3
Number of fruits at first
= 7 u
= 7 x 3
= 21
Answer(s): 21