There were 10 pineapples more than passion fruits in a fruit stall. ²₃ of the passion fruits and ⁵₇ of the pineapples were sold. Given that there was an equal number of passion fruits and pineapples 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 pineapples left
= 1 - ⁵₇
= ²₇

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

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

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

Number of more pineapples than passion fruits at first
= 7 u - 6 u
= 1 u
= 10

Number of passion fruits at first
= 6 u
= 6 x 10
= 60

Answer(s): 60