A fruit seller sells only chikoos and pomegranates. The ratio of chikoos to pomegranates is 3 : 5. A total of 224 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 |
5 u |
1x5 = 5 u |
Change |
|
+ 224 |
|
After |
3x3 = 9 u |
9 u |
15 u |
3x5 = 15 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 3 is 3.
Number of fruits at first
= 3 u + 5 u
= 8 u
Number of fruits in the end
= 9 u + 15 u
= 24 u
Number of fruits added
= 24 u - 8 u
= 16 u
16 u = 224
1 u = 224 ÷ 16 = 14
Number of fruits at first
= 8 u
= 8 x 14
= 112
Answer(s): 112