There were 10 pomegranates more than passion fruits in a fruit stall. ¹₂ of the passion fruits and ⁵₉ of the pomegranates were sold. Given that there was an equal number of passion fruits and pomegranates 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 pomegranates left
= 1 - ⁵₉
= ⁴₉

The number of passion fruits and pomegranates left is the same. Make the number of pomegranates and passion fruits left the same. LCM of 1 and 4 is 4.

1x42x4 of the passion fruits = 4x19x1 of the pomegranates
48 of the passion fruits = 49 of the pomegranates

Number of passion fruits at first = 8 u
Number of pomegranates at first = 9 u

Number of more pomegranates than passion fruits at first
= 9 u - 8 u
= 1 u
= 10

Number of passion fruits at first
= 8 u
= 8 x 10
= 80

Answer(s): 80