Small avocados	Medium avocados	Large avocados
$2	$3	$5

Paul had some avocados in 3 sizes. The number of medium avocados was twice 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 $65 from selling ¹₄ of the large avocados.

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

Small avocados	Medium avocados	Large avocados
	2x4	1x4
1x1		4x1
1 u	8 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	8 u	4 u
Change	- 1 u	- 8 u	- 1 u
After	0	0	3 u

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

	Small avocados	Medium avocados	Large avocados
Number	1 u	8 u	1 u
Value	$2	$3	$5
Total value	2 u	24 u	5 u

Amount that Paul received from selling of ¹₄ of the large avocados = 5 u
5 u = 65

1 u = 65 ÷ 5 = 13

Number of large avocados at first
= 4 u
= 4 x 13
= 52

(b)
Amount that Paul collected less from selling the small avocados than the medium avocados
= 24 u - 2 u
= 22 u
= 22 x 13
= $286

Answer(s): (a) 52; (b) $286