There were 8 mangosteens more than grapefruits in a fruit stall. ¹₂ of the grapefruits and ⁵₉ of the mangosteens were sold. Given that there was an equal number of grapefruits and mangosteens left, how many grapefruits were there in the fruit stall at first?
Fraction of the grapefruits left
= 1 - ¹₂
= ¹₂

Fraction of the mangosteens left
= 1 - ⁵₉
= ⁴₉

The number of grapefruits and mangosteens left is the same. Make the number of mangosteens and grapefruits left the same. LCM of 1 and 4 is 4.

1x42x4 of the grapefruits = 4x19x1 of the mangosteens
48 of the grapefruits = 49 of the mangosteens

Number of grapefruits at first = 8 u
Number of mangosteens at first = 9 u

Number of more mangosteens than grapefruits at first
= 9 u - 8 u
= 1 u
= 8

Number of grapefruits at first
= 8 u
= 8 x 8
= 64

Answer(s): 64