Small apricots	Medium apricots	Large apricots
$3	$6	$9

Howard had some apricots in 3 sizes. The number of medium apricots was five times the number of large apricots. The number of large apricots were four times the number of small apricots. He sold all the small and medium apricots. He received $117 from selling ¹₄ 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
	5x4	1x4
1x1		4x1
1 u	20 u	4 u

(a)
The number of large apricots is the repeated identity. Make the number of large apricots the same.  LCM of 1 and 4 is 4.

	Small apricots	Medium apricots	Large apricots
Before	1 u	20 u	4 u
Change	- 1 u	- 20 u	- 1 u
After	0	0	3 u

Number of large apricots that Howard sold
= ¹₄ x 4 u
= 1 u

	Small apricots	Medium apricots	Large apricots
Number	1 u	20 u	1 u
Value	$3	$6	$9
Total value	3 u	120 u	9 u

Amount that Howard received from selling of ¹₄ of the large apricots = 9 u
9 u = 117

1 u = 117 ÷ 9 = 13

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

(b)
Amount that Howard collected less from selling the small apricots than the medium apricots
= 120 u - 3 u
= 117 u
= 117 x 13
= $1521

Answer(s): (a) 52; (b) $1521