Michael bought some guavas and dragonfruits in the ratio of 1 : 5 . After buying another 93 fruits each, the ratio becomes 8 : 9. Find the number of guavas and dragonfruits he had at first.
| |
Guavas |
Dragonfruits |
Difference |
| Before |
1x1 =
1 u |
5x1 =
5 u |
4x1 =
4 u |
| Change |
+ 93 |
+ 93 |
|
| After |
8x4 =
32 u |
9x4 =
36 u |
1x4 =
4 u |
Since the same number of fruits bought for each type of fruits is the same, the difference in the number of guavas and dragonfruits at first and in the end remains unchanged.
Make the difference in the number of guavas and dragonfruits the same. LCM of 4 and 1 is 4.
Increase in the number of guavas
= 32 u - 1 u
= 31 u
31 u = 93
1 u = 93 ÷ 31 = 3
Number of dragonfruits and guavas that Michael had at first
= 1 u + 5 u
= 6 u
= 6 x 3
= 18
Answer(s): 18
