Michael had some passion fruits and dragonfruits. The number of passion fruits and dragonfruits left were the same after Michael sold ¹₅ of the passion fruits and ⁵₇ of the dragonfruits. If he had 60 passion fruits at first,

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

	Passion Fruits	Dragonfruits
Before	5x1 = 5 u	7 u
Change	- 1x1 = - 4 u	- 5 u
After	4x1 = 4 u	2 u

(a)
Fraction of the passion fruits left
= 1 - ¹₅
= ⁴₅

Fraction of the dragonfruits left
= 1 - ⁵₇
= ²₇

The number of passion fruits and dragonfruits left were the same.  Make the number of passion fruits and dragonfruits left the same. LCM of 4 and 2 is 4.

Number of passion fruits at first = 5 u
Number of dragonfruits at first = 7 u

5 u = 60

1 u = 60 ÷ 5 = 12

Number of passion fruits left
= 2 u
= 2 x 12
= 24

(b)
Number of dragonfruits at first
= 7 u
= 7 x 12
= 84

Answer(s): (a) 24; (b) 84