Ben had some mangosteens and dragonfruits. The number of mangosteens and dragonfruits left were the same after Ben sold ¹₂ of the mangosteens and ⁴₇ of the dragonfruits. If he had 60 mangosteens at first,

1. How many mangosteens were left?
2. How many dragonfruits did Ben have at first?

	Mangosteens	Dragonfruits
Before	2x3 = 6 u	7 u
Change	- 1x3 = - 3 u	- 4 u
After	1x3 = 3 u	3 u

(a)
Fraction of the mangosteens left
= 1 - ¹₂
= ¹₂

Fraction of the dragonfruits left
= 1 - ⁴₇
= ³₇

The number of mangosteens and dragonfruits left were the same.  Make the number of mangosteens and dragonfruits left the same. LCM of 1 and 3 is 3.

Number of mangosteens at first = 6 u
Number of dragonfruits at first = 7 u

6 u = 60

1 u = 60 ÷ 6 = 10

Number of mangosteens left
= 3 u
= 3 x 10
= 30

(b)
Number of dragonfruits at first
= 7 u
= 7 x 10
= 70

Answer(s): (a) 30; (b) 70