There were 7 pomegranates more than grapefruits in a fruit stall. ¹₃ of the grapefruits and ³₇ of the pomegranates were sold. Given that there was an equal number of grapefruits and pomegranates left, how many grapefruits were there in the fruit stall at first?
Fraction of the grapefruits left
= 1 - ¹₃
= ²₃

Fraction of the pomegranates left
= 1 - ³₇
= ⁴₇

The number of grapefruits and pomegranates left is the same. Make the number of pomegranates and grapefruits left the same. LCM of 2 and 4 is 4.

2x23x2 of the grapefruits = 4x17x1 of the pomegranates
46 of the grapefruits = 47 of the pomegranates

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

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

Number of grapefruits at first
= 6 u
= 6 x 7
= 42

Answer(s): 42