Caden bought some chikoos and pomegranates in the ratio of 2 : 5 . After buying another 33 fruits each, the ratio becomes 7 : 12. Find the number of chikoos and pomegranates he had at first.
| |
Chikoos |
Pomegranates |
Difference |
| Before |
2x5 =
10 u |
5x5 =
25 u |
3x5 =
15 u |
| Change |
+ 33 |
+ 33 |
|
| After |
7x3 =
21 u |
12x3 =
36 u |
5x3 =
15 u |
Since the same number of fruits bought for each type of fruits is the same, the difference in the number of chikoos and pomegranates at first and in the end remains unchanged.
Make the difference in the number of chikoos and pomegranates the same. LCM of 3 and 5 is 15.
Increase in the number of chikoos
= 21 u - 10 u
= 11 u
11 u = 33
1 u = 33 ÷ 11 = 3
Number of pomegranates and chikoos that Caden had at first
= 10 u + 25 u
= 35 u
= 35 x 3
= 105
Answer(s): 105
