There were 9 papayas more than passion fruits in a fruit stall. ¹₂ of the passion fruits and ³₅ of the papayas were sold. Given that there was an equal number of passion fruits and papayas left, how many passion fruits were there in the fruit stall at first?
Fraction of the passion fruits left
= 1 - ¹₂
= ¹₂

Fraction of the papayas left
= 1 - ³₅
= ²₅

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

1x22x2 of the passion fruits = 2x15x1 of the papayas
24 of the passion fruits = 25 of the papayas

Number of passion fruits at first = 4 u
Number of papayas at first = 5 u

Number of more papayas than passion fruits at first
= 5 u - 4 u
= 1 u
= 9

Number of passion fruits at first
= 4 u
= 4 x 9
= 36

Answer(s): 36