Luis bought some chikoos and kiwis in the ratio of 1 : 5 . After buying another 26 fruits each, the ratio becomes 5 : 12. Find the number of chikoos and kiwis he had at first.
|
Chikoos |
Kiwis |
Difference |
Before |
1x7 = 7 u |
5x7 = 35 u |
4x7 = 28 u |
Change |
+ 26 |
+ 26 |
|
After |
5x4 = 20 u |
12x4 = 48 u |
7x4 = 28 u |
Since the same number of fruits bought for each type of fruits is the same, the difference in the number of chikoos and kiwis at first and in the end remains unchanged.
Make the difference in the number of chikoos and kiwis the same. LCM of 4 and 7 is 28.
Increase in the number of chikoos
= 20 u - 7 u
= 13 u
13 u = 26
1 u = 26 ÷ 13 = 2
Number of kiwis and chikoos that Luis had at first
= 7 u + 35 u
= 42 u
= 42 x 2
= 84
Answer(s): 84