Perry had some passion fruits and starfruits. The number of passion fruits and starfruits left were the same after Perry sold ²₅ of the passion fruits and ³₅ of the starfruits. If he had 100 passion fruits at first,

1. How many passion fruits were left?
2. How many starfruits did Perry have at first?

	Passion Fruits	Starfruits
Before	5x2 = 10 u	5 u
Change	- 2x2 = - 6 u	- 3 u
After	3x2 = 6 u	2 u

(a)
Fraction of the passion fruits left
= 1 - ²₅
= ³₅

Fraction of the starfruits left
= 1 - ³₅
= ²₅

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

Number of passion fruits at first = 10 u
Number of starfruits at first = 5 u

10 u = 100

1 u = 100 ÷ 10 = 10

Number of passion fruits left
= 2 u
= 2 x 10
= 20

(b)
Number of starfruits at first
= 5 u
= 5 x 10
= 50

Answer(s): (a) 20; (b) 50