Small apricots	Medium apricots	Large apricots
$2	$3	$6

Carl had some apricots in 3 sizes. The number of medium apricots was four times the number of large apricots. The number of large apricots were five times the number of small apricots. He sold all the small and medium apricots. He received $36 from selling ²₅ of the large apricots.

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

Small apricots	Medium apricots	Large apricots
	4x5	1x5
1x1		5x1
1 u	20 u	5 u

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

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

Number of large apricots that Carl sold
= ²₅ x 5 u
= 2 u

	Small apricots	Medium apricots	Large apricots
Number	1 u	20 u	2 u
Value	$2	$3	$6
Total value	2 u	60 u	12 u

Amount that Carl received from selling of ²₅ of the large apricots = 12 u
12 u = 36

1 u = 36 ÷ 12 = 3

Number of large apricots at first
= 5 u
= 5 x 3
= 15

(b)
Amount that Carl collected less from selling the small apricots than the medium apricots
= 60 u - 2 u
= 58 u
= 58 x 3
= $174

Answer(s): (a) 15; (b) $174