Small guavas	Medium guavas	Large guavas
$3	$7	$8

Luke 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 $56 from selling ¹₅ of the large guavas.Luke had some guavas in 3 sizes. 
He sold all the small and medium guavas. He received $56 from selling ¹₅ 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
	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 Luke sold
= ¹₅ x 5 u
= 1 u

	Small guavas	Medium guavas	Large guavas
Number	1 u	20 u	1 u
Value	$3	$7	$8
Total value	3 u	140 u	8 u

Amount that Luke received from selling of ¹₅ of the large guavas = 8 u
8 u = 56

1 u = 56 ÷ 8 = 7

Number of medium guavas at first
= 20 u
= 20 x 7
= 140

(b)
Amount that Luke collected more from selling the medium guavas than the small guavas
= 140 u - 3 u
= 137 u
= 137 x 7
= $959

Answer(s): (a) 140; (b) $959