Small apricots	Medium apricots	Large apricots
$2	$5	$7

Jack had some apricots in 3 sizes. The number of medium apricots was twice 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 $126 from selling ²₅ of the large apricots.Jack had some apricots in 3 sizes. 
He sold all the small and medium apricots. He received $126 from selling ²₅ of the large apricots.

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

Small apricots	Medium apricots	Large apricots
	2x5	1x5
1x1		5x1
1 u	10 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	10 u	5 u
Change	- 1 u	- 10 u	- 2 u
After	0	0	3 u

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

	Small apricots	Medium apricots	Large apricots
Number	1 u	10 u	2 u
Value	$2	$5	$7
Total value	2 u	50 u	14 u

Amount that Jack received from selling of ²₅ of the large apricots = 14 u
14 u = 126

1 u = 126 ÷ 14 = 9

Number of medium apricots at first
= 10 u
= 10 x 9
= 90

(b)
Amount that Jack collected more from selling the medium apricots than the small apricots
= 50 u - 2 u
= 48 u
= 48 x 9
= $432

Answer(s): (a) 90; (b) $432