There were 5 tomatoes more than dragonfruits in a fruit stall. ¹₂ of the dragonfruits and ³₅ of the tomatoes were sold. Given that there was an equal number of dragonfruits and tomatoes left, how many dragonfruits were there in the fruit stall at first?
Fraction of the dragonfruits left
= 1 - ¹₂
= ¹₂

Fraction of the tomatoes left
= 1 - ³₅
= ²₅

The number of dragonfruits and tomatoes left is the same. Make the number of tomatoes and dragonfruits left the same. LCM of 1 and 2 is 2.

1x22x2 of the dragonfruits = 2x15x1 of the tomatoes
24 of the dragonfruits = 25 of the tomatoes

Number of dragonfruits at first = 4 u
Number of tomatoes at first = 5 u

Number of more tomatoes than dragonfruits at first
= 5 u - 4 u
= 1 u
= 5

Number of dragonfruits at first
= 4 u
= 4 x 5
= 20

Answer(s): 20