There were 10 mangosteens more than passion fruits in a fruit stall. ¹₃ of the passion fruits and ³₇ of the mangosteens were sold. Given that there was an equal number of passion fruits and mangosteens left, how many passion fruits were there in the fruit stall at first?
Fraction of the passion fruits left
= 1 - ¹₃
= ²₃

Fraction of the mangosteens left
= 1 - ³₇
= ⁴₇

The number of passion fruits and mangosteens left is the same. Make the number of mangosteens and passion fruits left the same. LCM of 2 and 4 is 4.

2x23x2 of the passion fruits = 4x17x1 of the mangosteens
46 of the passion fruits = 47 of the mangosteens

Number of passion fruits at first = 6 u
Number of mangosteens at first = 7 u

Number of more mangosteens than passion fruits at first
= 7 u - 6 u
= 1 u
= 10

Number of passion fruits at first
= 6 u
= 6 x 10
= 60

Answer(s): 60