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

Julian had some apricots in 3 sizes. The number of medium apricots was thrice 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 $49 from selling ¹₅ of the large apricots.Julian had some apricots in 3 sizes. 
He sold all the small and medium apricots. He received $49 from selling ¹₅ 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
	3x5	1x5
1x1		5x1
1 u	15 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	15 u	5 u
Change	- 1 u	- 15 u	- 1 u
After	0	0	4 u

Number of large apricots that Julian sold
= ¹₅ x 5 u
= 1 u

	Small apricots	Medium apricots	Large apricots
Number	1 u	15 u	1 u
Value	$3	$5	$7
Total value	3 u	75 u	7 u

Amount that Julian received from selling of ¹₅ of the large apricots = 7 u
7 u = 49

1 u = 49 ÷ 7 = 7

Number of medium apricots at first
= 15 u
= 15 x 7
= 105

(b)
Amount that Julian collected more from selling the medium apricots than the small apricots
= 75 u - 3 u
= 72 u
= 72 x 7
= $504

Answer(s): (a) 105; (b) $504