Small avocados	Medium avocados	Large avocados
$2	$7	$8

Lee had some avocados in 3 sizes. The number of medium avocados was five times the number of large avocados. The number of large avocados were four times the number of small avocados. He sold all the small and medium avocados. He received $72 from selling ¹₄ of the large avocados.Lee had some avocados in 3 sizes. 
He sold all the small and medium avocados. He received $72 from selling ¹₄ of the large avocados.

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

Small avocados	Medium avocados	Large avocados
	5x4	1x4
1x1		4x1
1 u	20 u	4 u

(a)
The number of large avocados is the repeated identity. Make the number of large avocados the same.  LCM of 1 and 4 is 4.

	Small avocados	Medium avocados	Large avocados
Before	1 u	20 u	4 u
Change	- 1 u	- 20 u	- 1 u
After	0	0	3 u

Number of large avocados that Lee sold
= ¹₄ x 4 u
= 1 u

	Small avocados	Medium avocados	Large avocados
Number	1 u	20 u	1 u
Value	$2	$7	$8
Total value	2 u	140 u	8 u

Amount that Lee received from selling of ¹₄ of the large avocados = 8 u
8 u = 72

1 u = 72 ÷ 8 = 9

Number of medium avocados at first
= 20 u
= 20 x 9
= 180

(b)
Amount that Lee collected more from selling the medium avocados than the small avocados
= 140 u - 2 u
= 138 u
= 138 x 9
= $1242

Answer(s): (a) 180; (b) $1242