There were 8 honeydews more than grapefruits in a fruit stall. ²₃ of the grapefruits and ⁵₇ of the honeydews were sold. Given that there was an equal number of grapefruits and honeydews left, how many grapefruits were there in the fruit stall at first?
Fraction of the grapefruits left
= 1 - ²₃
= ¹₃

Fraction of the honeydews left
= 1 - ⁵₇
= ²₇

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

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

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

Number of more honeydews than grapefruits at first
= 7 u - 6 u
= 1 u
= 8

Number of grapefruits at first
= 6 u
= 6 x 8
= 48

Answer(s): 48