Neave had some passion fruits and dragonfruits. The number of passion fruits and dragonfruits left were the same after Neave sold ³₅ of the passion fruits and ⁴₇ of the dragonfruits. If he had 105 passion fruits at first,

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

	Passion Fruits	Dragonfruits
Before	5x3 = 15 u	7 u
Change	- 3x3 = - 6 u	- 4 u
After	2x3 = 6 u	3 u

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

Fraction of the dragonfruits left
= 1 - ⁴₇
= ³₇

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

Number of passion fruits at first = 15 u
Number of dragonfruits at first = 7 u

15 u = 105

1 u = 105 ÷ 15 = 7

Number of passion fruits left
= 3 u
= 3 x 7
= 21

(b)
Number of dragonfruits at first
= 7 u
= 7 x 7
= 49

Answer(s): (a) 21; (b) 49