There were 5 avocados more than passion fruits in a fruit stall. ²₃ of the passion fruits and ⁵₇ of the avocados were sold. Given that there was an equal number of passion fruits and avocados left, how many passion fruits were there in the fruit stall at first?
Fraction of the passion fruits left
= 1 - ²₃
= ¹₃

Fraction of the avocados left
= 1 - ⁵₇
= ²₇

The number of passion fruits and avocados left is the same. Make the number of avocados and passion fruits left the same. LCM of 1 and 2 is 2.

1x23x2 of the passion fruits = 2x17x1 of the avocados
26 of the passion fruits = 27 of the avocados

Number of passion fruits at first = 6 u
Number of avocados at first = 7 u

Number of more avocados than passion fruits at first
= 7 u - 6 u
= 1 u
= 5

Number of passion fruits at first
= 6 u
= 6 x 5
= 30

Answer(s): 30