Small guavas	Medium guavas	Large guavas
$2	$4	$8

Warren had some guavas in 3 sizes. The number of medium guavas was twice the number of large guavas. The number of large guavas were thrice the number of small guavas. He sold all the small and medium guavas. He received $168 from selling ¹₃ of the large guavas.Warren had some guavas in 3 sizes. 
He sold all the small and medium guavas. He received $168 from selling ¹₃ of the large guavas.

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

Small guavas	Medium guavas	Large guavas
	2x3	1x3
1x1		3x1
1 u	6 u	3 u

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

	Small guavas	Medium guavas	Large guavas
Before	1 u	6 u	3 u
Change	- 1 u	- 6 u	- 1 u
After	0	0	2 u

Number of large guavas that Warren sold
= ¹₃ x 3 u
= 1 u

	Small guavas	Medium guavas	Large guavas
Number	1 u	6 u	1 u
Value	$2	$4	$8
Total value	2 u	24 u	8 u

Amount that Warren received from selling of ¹₃ of the large guavas = 8 u
8 u = 168

1 u = 168 ÷ 8 = 21

Number of medium guavas at first
= 6 u
= 6 x 21
= 126

(b)
Amount that Warren collected more from selling the medium guavas than the small guavas
= 24 u - 2 u
= 22 u
= 22 x 21
= $462

Answer(s): (a) 126; (b) $462