Bobby bought some chikoos and starfruits in the ratio of 1 : 5 . After buying another 78 fruits each, the ratio becomes 5 : 12. Find the number of chikoos and starfruits he had at first.
| |
Chikoos |
Starfruits |
Difference |
| Before |
1x7 =
7 u |
5x7 =
35 u |
4x7 =
28 u |
| Change |
+ 78 |
+ 78 |
|
| 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 starfruits at first and in the end remains unchanged.
Make the difference in the number of chikoos and starfruits the same. LCM of 4 and 7 is 28.
Increase in the number of chikoos
= 20 u - 7 u
= 13 u
13 u = 78
1 u = 78 ÷ 13 = 6
Number of starfruits and chikoos that Bobby had at first
= 7 u + 35 u
= 42 u
= 42 x 6
= 252
Answer(s): 252
