There were 6 papayas more than dragonfruits in a fruit stall. ²₅ of the dragonfruits and ¹₂ of the papayas were sold. Given that there was an equal number of dragonfruits and papayas left, how many dragonfruits were there in the fruit stall at first?
Fraction of the dragonfruits left
= 1 - ²₅
= ³₅

Fraction of the papayas left
= 1 - ¹₂
= ¹₂

The number of dragonfruits and papayas left is the same. Make the number of papayas and dragonfruits left the same. LCM of 3 and 1 is 3.

3x15x1 of the dragonfruits = 1x32x3 of the papayas
35 of the dragonfruits = 36 of the papayas

Number of dragonfruits at first = 5 u
Number of papayas at first = 6 u

Number of more papayas than dragonfruits at first
= 6 u - 5 u
= 1 u
= 6

Number of dragonfruits at first
= 5 u
= 5 x 6
= 30

Answer(s): 30