Charlie had some mangosteens and passion fruits. The number of mangosteens and passion fruits left were the same after Charlie sold ¹₃ of the mangosteens and ⁴₇ of the passion fruits. If he had 117 mangosteens at first,

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

	Mangosteens	Passion Fruits
Before	3x3 = 9 u	7 u
Change	- 1x3 = - 6 u	- 4 u
After	2x3 = 6 u	3 u

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

Fraction of the passion fruits left
= 1 - ⁴₇
= ³₇

The number of mangosteens and passion fruits left were the same.  Make the number of mangosteens and passion fruits left the same. LCM of 2 and 3 is 6.

Number of mangosteens at first = 9 u
Number of passion fruits at first = 7 u

9 u = 117

1 u = 117 ÷ 9 = 13

Number of mangosteens left
= 3 u
= 3 x 13
= 39

(b)
Number of passion fruits at first
= 7 u
= 7 x 13
= 91

Answer(s): (a) 39; (b) 91