There were 7 honeydews more than passion fruits in a fruit stall. ¹₂ of the passion fruits and ³₅ of the honeydews were sold. Given that there was an equal number of passion fruits and honeydews 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 honeydews left
= 1 - ³₅
= ²₅

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

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

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

Number of more honeydews than passion fruits at first
= 5 u - 4 u
= 1 u
= 7

Number of passion fruits at first
= 4 u
= 4 x 7
= 28

Answer(s): 28