Small guavas	Medium guavas	Large guavas
$4	$6	$7

Archie had some guavas in 3 sizes. The number of medium guavas was thrice 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 $196 from selling ²₅ 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
	3x5	1x5
1x1		5x1
1 u	15 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	15 u	5 u
Change	- 1 u	- 15 u	- 2 u
After	0	0	3 u

Number of large guavas that Archie sold
= ²₅ x 5 u
= 2 u

	Small guavas	Medium guavas	Large guavas
Number	1 u	15 u	2 u
Value	$4	$6	$7
Total value	4 u	90 u	14 u

Amount that Archie received from selling of ²₅ of the large guavas = 14 u
14 u = 196

1 u = 196 ÷ 14 = 14

Number of large guavas at first
= 5 u
= 5 x 14
= 70

(b)
Amount that Archie collected less from selling the small guavas than the medium guavas
= 90 u - 4 u
= 86 u
= 86 x 14
= $1204

Answer(s): (a) 70; (b) $1204