Valen bought some dragonfruits and guavas in the ratio of 1 : 4 . After buying another 24 fruits each, the ratio becomes 5 : 12. Find the number of dragonfruits and guavas he had at first.
| |
Dragonfruits |
Guavas |
Difference |
| Before |
1x7 =
7 u |
4x7 =
28 u |
3x7 =
21 u |
| Change |
+ 24 |
+ 24 |
|
| 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 guavas at first and in the end remains unchanged.
Make the difference in the number of dragonfruits and guavas the same. LCM of 3 and 7 is 21.
Increase in the number of dragonfruits
= 15 u - 7 u
= 8 u
8 u = 24
1 u = 24 ÷ 8 = 3
Number of guavas and dragonfruits that Valen had at first
= 7 u + 28 u
= 35 u
= 35 x 3
= 105
Answer(s): 105
