Small peaches	Medium peaches	Large peaches
$3	$4	$7

Flynn had some peaches in 3 sizes. The number of medium peaches was twice 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 $63 from selling ³₅ 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
	2x5	1x5
1x1		5x1
1 u	10 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	10 u	5 u
Change	- 1 u	- 10 u	- 3 u
After	0	0	2 u

Number of large peaches that Flynn sold
= ³₅ x 5 u
= 3 u

	Small peaches	Medium peaches	Large peaches
Number	1 u	10 u	3 u
Value	$3	$4	$7
Total value	3 u	40 u	21 u

Amount that Flynn received from selling of ³₅ of the large peaches = 21 u
21 u = 63

1 u = 63 ÷ 21 = 3

Number of large peaches at first
= 5 u
= 5 x 3
= 15

(b)
Amount that Flynn collected less from selling the small peaches than the medium peaches
= 40 u - 3 u
= 37 u
= 37 x 3
= $111

Answer(s): (a) 15; (b) $111