Ben bought some chikoos and lemons in the ratio of 1 : 4 . After buying another 24 fruits each, the ratio becomes 5 : 11. Find the number of chikoos and lemons he has now.
| |
Chikoos |
Lemons |
Difference |
| Before |
1x2 =
2 u |
4x2 =
8 u |
3x2 =
6 u |
| Change |
+ 24 |
+ 24 |
|
| After |
5x1 =
5 u |
11x1 =
11 u |
6x1 =
6 u |
Since the same number of fruits bought for each type of fruits is the same, the difference in the number of chikoos and lemons at first and in the end remains unchanged.
Make the difference in the number of chikoos and lemons the same. LCM of 3 and 6 is 6.
Increase in the number of chikoos
= 5 u - 2 u
= 3 u
3 u = 24
1 u = 24 ÷ 3 = 8
Number of lemons and chikoos that $(Fred) has now
= 5 u + 11 u
= 16 u
= 16 x 8
= 128
Answer(s): 128
