Small avocados	Medium avocados	Large avocados
$2	$4	$7

Sam had some avocados in 3 sizes. The number of medium avocados was four times the number of large avocados. The number of large avocados were five times the number of small avocados. He sold all the small and medium avocados. He received $70 from selling ²₅ of the large avocados.Sam had some avocados in 3 sizes. 
He sold all the small and medium avocados. He received $70 from selling ²₅ 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
	4x5	1x5
1x1		5x1
1 u	20 u	5 u

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

	Small avocados	Medium avocados	Large avocados
Before	1 u	20 u	5 u
Change	- 1 u	- 20 u	- 2 u
After	0	0	3 u

Number of large avocados that Sam sold
= ²₅ x 5 u
= 2 u

	Small avocados	Medium avocados	Large avocados
Number	1 u	20 u	2 u
Value	$2	$4	$7
Total value	2 u	80 u	14 u

Amount that Sam received from selling of ²₅ of the large avocados = 14 u
14 u = 70

1 u = 70 ÷ 14 = 5

Number of medium avocados at first
= 20 u
= 20 x 5
= 100

(b)
Amount that Sam collected more from selling the medium avocados than the small avocados
= 80 u - 2 u
= 78 u
= 78 x 5
= $390

Answer(s): (a) 100; (b) $390