Luke bought some dragonfruits and starfruits in the ratio of 2 : 5 . After buying another 44 fruits each, the ratio becomes 8 : 9. Find the number of dragonfruits and starfruits he had at first.
| |
Dragonfruits |
Starfruits |
Difference |
| Before |
2x1 =
2 u |
5x1 =
5 u |
3x1 =
3 u |
| Change |
+ 44 |
+ 44 |
|
| After |
8x3 =
24 u |
9x3 =
27 u |
1x3 =
3 u |
Since the same number of fruits bought for each type of fruits is the same, the difference in the number of dragonfruits and starfruits at first and in the end remains unchanged.
Make the difference in the number of dragonfruits and starfruits the same. LCM of 3 and 1 is 3.
Increase in the number of dragonfruits
= 24 u - 2 u
= 22 u
22 u = 44
1 u = 44 ÷ 22 = 2
Number of starfruits and dragonfruits that Luke had at first
= 2 u + 5 u
= 7 u
= 7 x 2
= 14
Answer(s): 14
