There were 7 papayas more than pomegranates in a fruit stall. ³₅ of the pomegranates and ²₃ of the papayas were sold. Given that there was an equal number of pomegranates and papayas left, how many pomegranates were there in the fruit stall at first?
Fraction of the pomegranates left
= 1 - ³₅
= ²₅

Fraction of the papayas left
= 1 - ²₃
= ¹₃

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

2x15x1 of the pomegranates = 1x23x2 of the papayas
25 of the pomegranates = 26 of the papayas

Number of pomegranates at first = 5 u
Number of papayas at first = 6 u

Number of more papayas than pomegranates at first
= 6 u - 5 u
= 1 u
= 7

Number of pomegranates at first
= 5 u
= 5 x 7
= 35

Answer(s): 35