There were 6 honeydews more than pomegranates in a fruit stall. ²₃ of the pomegranates and ⁵₇ of the honeydews were sold. Given that there was an equal number of pomegranates and honeydews left, how many pomegranates were there in the fruit stall at first?
Fraction of the pomegranates left
= 1 - ²₃
= ¹₃

Fraction of the honeydews left
= 1 - ⁵₇
= ²₇

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

1x23x2 of the pomegranates = 2x17x1 of the honeydews
26 of the pomegranates = 27 of the honeydews

Number of pomegranates at first = 6 u
Number of honeydews at first = 7 u

Number of more honeydews than pomegranates at first
= 7 u - 6 u
= 1 u
= 6

Number of pomegranates at first
= 6 u
= 6 x 6
= 36

Answer(s): 36