Small avocados	Medium avocados	Large avocados
$3	$5	$6

Cole had some avocados in 3 sizes. The number of medium avocados was thrice 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 $132 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
	3x4	1x4
1x1		4x1
1 u	12 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	12 u	4 u
Change	- 1 u	- 12 u	- 1 u
After	0	0	3 u

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

	Small avocados	Medium avocados	Large avocados
Number	1 u	12 u	1 u
Value	$3	$5	$6
Total value	3 u	60 u	6 u

Amount that Cole received from selling of ¹₄ of the large avocados = 6 u
6 u = 132

1 u = 132 ÷ 6 = 22

Number of large avocados at first
= 4 u
= 4 x 22
= 88

(b)
Amount that Cole collected less from selling the small avocados than the medium avocados
= 60 u - 3 u
= 57 u
= 57 x 22
= $1254

Answer(s): (a) 88; (b) $1254