Vincent had some passion fruits and grapefruits. The number of passion fruits and grapefruits left were the same after Vincent sold ¹₂ of the passion fruits and ⁵₇ of the grapefruits. If he had 108 passion fruits at first,

1. How many passion fruits were left?
2. How many grapefruits did Vincent have at first?

	Passion Fruits	Grapefruits
Before	2x2 = 4 u	7 u
Change	- 1x2 = - 2 u	- 5 u
After	1x2 = 2 u	2 u

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

Fraction of the grapefruits left
= 1 - ⁵₇
= ²₇

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

Number of passion fruits at first = 4 u
Number of grapefruits at first = 7 u

4 u = 108

1 u = 108 ÷ 4 = 27

Number of passion fruits left
= 2 u
= 2 x 27
= 54

(b)
Number of grapefruits at first
= 7 u
= 7 x 27
= 189

Answer(s): (a) 54; (b) 189