Small apricots	Medium apricots	Large apricots
$3	$5	$7

Owen 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 thrice the number of small apricots. He sold all the small and medium apricots. He received $140 from selling ¹₃ 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
	4x3	1x3
1x1		3x1
1 u	12 u	3 u

(a)
The number of large apricots is the repeated identity. Make the number of large apricots the same.  LCM of 1 and 3 is 3.

	Small apricots	Medium apricots	Large apricots
Before	1 u	12 u	3 u
Change	- 1 u	- 12 u	- 1 u
After	0	0	2 u

Number of large apricots that Owen sold
= ¹₃ x 3 u
= 1 u

	Small apricots	Medium apricots	Large apricots
Number	1 u	12 u	1 u
Value	$3	$5	$7
Total value	3 u	60 u	7 u

Amount that Owen received from selling of ¹₃ of the large apricots = 7 u
7 u = 140

1 u = 140 ÷ 7 = 20

Number of large apricots at first
= 3 u
= 3 x 20
= 60

(b)
Amount that Owen collected less from selling the small apricots than the medium apricots
= 60 u - 3 u
= 57 u
= 57 x 20
= $1140

Answer(s): (a) 60; (b) $1140