Small peaches	Medium peaches	Large peaches
$4	$6	$7

Eric had some peaches in 3 sizes. The number of medium peaches was thrice the number of large peaches. The number of large peaches were five times the number of small peaches. He sold all the small and medium peaches. He received $266 from selling ²₅ 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
	3x5	1x5
1x1		5x1
1 u	15 u	5 u

(a)
The number of large peaches is the repeated identity. Make the number of large peaches the same.  LCM of 1 and 5 is 5.

	Small peaches	Medium peaches	Large peaches
Before	1 u	15 u	5 u
Change	- 1 u	- 15 u	- 2 u
After	0	0	3 u

Number of large peaches that Eric sold
= ²₅ x 5 u
= 2 u

	Small peaches	Medium peaches	Large peaches
Number	1 u	15 u	2 u
Value	$4	$6	$7
Total value	4 u	90 u	14 u

Amount that Eric received from selling of ²₅ of the large peaches = 14 u
14 u = 266

1 u = 266 ÷ 14 = 19

Number of large peaches at first
= 5 u
= 5 x 19
= 95

(b)
Amount that Eric collected less from selling the small peaches than the medium peaches
= 90 u - 4 u
= 86 u
= 86 x 19
= $1634

Answer(s): (a) 95; (b) $1634