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

Tommy 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 $78 from selling ¹₅ 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
	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	- 1 u
After	0	0	4 u

Number of large avocados that Tommy sold
= ¹₅ x 5 u
= 1 u

	Small avocados	Medium avocados	Large avocados
Number	1 u	20 u	1 u
Value	$3	$5	$6
Total value	3 u	100 u	6 u

Amount that Tommy received from selling of ¹₅ of the large avocados = 6 u
6 u = 78

1 u = 78 ÷ 6 = 13

Number of large avocados at first
= 5 u
= 5 x 13
= 65

(b)
Amount that Tommy collected less from selling the small avocados than the medium avocados
= 100 u - 3 u
= 97 u
= 97 x 13
= $1261

Answer(s): (a) 65; (b) $1261