Small peaches	Medium peaches	Large peaches
$3	$6	$8

Riordan had some peaches in 3 sizes. The number of medium peaches was five times the number of large peaches. The number of large peaches were thrice the number of small peaches. He sold all the small and medium peaches. He received $144 from selling ¹₃ of the large peaches.

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

Small peaches	Medium peaches	Large peaches
	5x3	1x3
1x1		3x1
1 u	15 u	3 u

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

	Small peaches	Medium peaches	Large peaches
Before	1 u	15 u	3 u
Change	- 1 u	- 15 u	- 1 u
After	0	0	2 u

Number of large peaches that Riordan sold
= ¹₃ x 3 u
= 1 u

	Small peaches	Medium peaches	Large peaches
Number	1 u	15 u	1 u
Value	$3	$6	$8
Total value	3 u	90 u	8 u

Amount that Riordan received from selling of ¹₃ of the large peaches = 8 u
8 u = 144

1 u = 144 ÷ 8 = 18

Number of large peaches at first
= 3 u
= 3 x 18
= 54

(b)
Amount that Riordan collected less from selling the small peaches than the medium peaches
= 90 u - 3 u
= 87 u
= 87 x 18
= $1566

Answer(s): (a) 54; (b) $1566