Elijah had some mangosteens and passion fruits. The number of mangosteens and passion fruits left were the same after Elijah sold ²₃ of the mangosteens and ⁵₇ of the passion fruits. If he had 108 mangosteens at first,

1. How many mangosteens were left?
2. How many passion fruits did Elijah have at first?

	Mangosteens	Passion Fruits
Before	3x2 = 6 u	7 u
Change	- 2x2 = - 2 u	- 5 u
After	1x2 = 2 u	2 u

(a)
Fraction of the mangosteens left
= 1 - ²₃
= ¹₃

Fraction of the passion fruits left
= 1 - ⁵₇
= ²₇

The number of mangosteens and passion fruits left were the same.  Make the number of mangosteens and passion fruits left the same. LCM of 1 and 2 is 2.

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

6 u = 108

1 u = 108 ÷ 6 = 18

Number of mangosteens left
= 2 u
= 2 x 18
= 36

(b)
Number of passion fruits at first
= 7 u
= 7 x 18
= 126

Answer(s): (a) 36; (b) 126