Small grapefruits	Medium grapefruits	Large grapefruits
$2	$4	$6

Zane had some grapefruits in 3 sizes. The number of medium grapefruits was five times the number of large grapefruits. The number of large grapefruits were thrice the number of small grapefruits. He sold all the small and medium grapefruits. He received $72 from selling ²₃ of the large grapefruits.Zane had some grapefruits in 3 sizes. 
He sold all the small and medium grapefruits. He received $72 from selling ²₃ of the large grapefruits.

1. How many medium grapefruits did he have at first?
2. How much more did he collect from selling the medium grapefruits than the small grapefruits?

Small grapefruits	Medium grapefruits	Large grapefruits
	5x3	1x3
1x1		3x1
1 u	15 u	3 u

(a)
The number of large grapefruits is the repeated identity. Make the number of large grapefruits the same.  LCM of 1 and 3 is 3.

	Small grapefruits	Medium grapefruits	Large grapefruits
Before	1 u	15 u	3 u
Change	- 1 u	- 15 u	- 2 u
After	0	0	1 u

Number of large grapefruits that Zane sold
= ²₃ x 3 u
= 2 u

	Small grapefruits	Medium grapefruits	Large grapefruits
Number	1 u	15 u	2 u
Value	$2	$4	$6
Total value	2 u	60 u	12 u

Amount that Zane received from selling of ²₃ of the large grapefruits = 12 u
12 u = 72

1 u = 72 ÷ 12 = 6

Number of medium grapefruits at first
= 15 u
= 15 x 6
= 90

(b)
Amount that Zane collected more from selling the medium grapefruits than the small grapefruits
= 60 u - 2 u
= 58 u
= 58 x 6
= $348

Answer(s): (a) 90; (b) $348