A fruit seller sells only chikoos and pomegranates. The ratio of chikoos to pomegranates is 2 : 3. A total of 152 fruits are added. The number of chikoos becomes 2 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 |
1x2 = 2 u |
2 u |
3 u |
1x3 = 3 u |
Change |
|
+ 152 |
|
After |
2x2 = 4 u |
4 u |
9 u |
3x3 = 9 u |
The number of pomegranates at first is repeated. Make the number of pomegranates at first the same. LCM of 1 and 3 is 3.
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 + 3 u
= 5 u
Number of fruits in the end
= 4 u + 9 u
= 13 u
Number of fruits added
= 13 u - 5 u
= 8 u
8 u = 152
1 u = 152 ÷ 8 = 19
Number of fruits at first
= 5 u
= 5 x 19
= 95
Answer(s): 95