There were 10 tomatoes more than grapefruits in a fruit stall. ³₅ of the grapefruits and ²₃ of the tomatoes were sold. Given that there was an equal number of grapefruits and tomatoes left, how many grapefruits were there in the fruit stall at first?
Fraction of the grapefruits left
= 1 - ³₅
= ²₅

Fraction of the tomatoes left
= 1 - ²₃
= ¹₃

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

2x15x1 of the grapefruits = 1x23x2 of the tomatoes
25 of the grapefruits = 26 of the tomatoes

Number of grapefruits at first = 5 u
Number of tomatoes at first = 6 u

Number of more tomatoes than grapefruits at first
= 6 u - 5 u
= 1 u
= 10

Number of grapefruits at first
= 5 u
= 5 x 10
= 50

Answer(s): 50