Small guavas	Medium guavas	Large guavas
$4	$6	$9

Gabriel 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 $54 from selling ¹₃ of the large guavas.

1. How many large guavas did he have at first?
2. How much less did he collect from selling the small guavas than the medium 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 Gabriel sold
= ¹₃ x 3 u
= 1 u

	Small guavas	Medium guavas	Large guavas
Number	1 u	6 u	1 u
Value	$4	$6	$9
Total value	4 u	36 u	9 u

Amount that Gabriel received from selling of ¹₃ of the large guavas = 9 u
9 u = 54

1 u = 54 ÷ 9 = 6

Number of large guavas at first
= 3 u
= 3 x 6
= 18

(b)
Amount that Gabriel collected less from selling the small guavas than the medium guavas
= 36 u - 4 u
= 32 u
= 32 x 6
= $192

Answer(s): (a) 18; (b) $192