Valen bought some dragonfruits and chikoos in the ratio of 1 : 4 . After buying another 56 fruits each, the ratio becomes 5 : 12. Find the number of dragonfruits and chikoos he has now.
| |
Dragonfruits |
Chikoos |
Difference |
| Before |
1x7 =
7 u |
4x7 =
28 u |
3x7 =
21 u |
| Change |
+ 56 |
+ 56 |
|
| After |
5x3 =
15 u |
12x3 =
36 u |
7x3 =
21 u |
Since the same number of fruits bought for each type of fruits is the same, the difference in the number of dragonfruits and chikoos at first and in the end remains unchanged.
Make the difference in the number of dragonfruits and chikoos the same. LCM of 3 and 7 is 21.
Increase in the number of dragonfruits
= 15 u - 7 u
= 8 u
8 u = 56
1 u = 56 ÷ 8 = 7
Number of chikoos and dragonfruits that $(Fred) has now
= 15 u + 36 u
= 51 u
= 51 x 7
= 357
Answer(s): 357
