Small guavas	Medium guavas	Large guavas
$3	$7	$9

Harry had some guavas in 3 sizes. The number of medium guavas was four times the number of large guavas. The number of large guavas were five times the number of small guavas. He sold all the small and medium guavas. He received $54 from selling ¹₅ 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
	4x5	1x5
1x1		5x1
1 u	20 u	5 u

(a)
The number of large guavas is the repeated identity. Make the number of large guavas the same.  LCM of 1 and 5 is 5.

	Small guavas	Medium guavas	Large guavas
Before	1 u	20 u	5 u
Change	- 1 u	- 20 u	- 1 u
After	0	0	4 u

Number of large guavas that Harry sold
= ¹₅ x 5 u
= 1 u

	Small guavas	Medium guavas	Large guavas
Number	1 u	20 u	1 u
Value	$3	$7	$9
Total value	3 u	140 u	9 u

Amount that Harry received from selling of ¹₅ of the large guavas = 9 u
9 u = 54

1 u = 54 ÷ 9 = 6

Number of large guavas at first
= 5 u
= 5 x 6
= 30

(b)
Amount that Harry collected less from selling the small guavas than the medium guavas
= 140 u - 3 u
= 137 u
= 137 x 6
= $822

Answer(s): (a) 30; (b) $822