Flynn bought some starfruits and dragonfruits in the ratio of 1 : 5 . After buying another 26 fruits each, the ratio becomes 5 : 12. Find the number of starfruits and dragonfruits he had at first.
| |
Starfruits |
Dragonfruits |
Difference |
| Before |
1x7 =
7 u |
5x7 =
35 u |
4x7 =
28 u |
| Change |
+ 26 |
+ 26 |
|
| 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 starfruits and dragonfruits at first and in the end remains unchanged.
Make the difference in the number of starfruits and dragonfruits the same. LCM of 4 and 7 is 28.
Increase in the number of starfruits
= 20 u - 7 u
= 13 u
13 u = 26
1 u = 26 ÷ 13 = 2
Number of dragonfruits and starfruits that Flynn had at first
= 7 u + 35 u
= 42 u
= 42 x 2
= 84
Answer(s): 84
