Michael had some passion fruits and mangosteens. The number of passion fruits and mangosteens left were the same after Michael sold ¹₂ of the passion fruits and ³₅ of the mangosteens. If he had 60 passion fruits at first,

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

	Passion Fruits	Mangosteens
Before	2x2 = 4 u	5 u
Change	- 1x2 = - 2 u	- 3 u
After	1x2 = 2 u	2 u

(a)
Fraction of the passion fruits left
= 1 - ¹₂
= ¹₂

Fraction of the mangosteens left
= 1 - ³₅
= ²₅

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

Number of passion fruits at first = 4 u
Number of mangosteens at first = 5 u

4 u = 60

1 u = 60 ÷ 4 = 15

Number of passion fruits left
= 2 u
= 2 x 15
= 30

(b)
Number of mangosteens at first
= 5 u
= 5 x 15
= 75

Answer(s): (a) 30; (b) 75