Small coconuts	Medium coconuts	Large coconuts
$3	$4	$6

Ryan had some coconuts in 3 sizes. The number of medium coconuts was twice the number of large coconuts. The number of large coconuts were five times the number of small coconuts. He sold all the small and medium coconuts. He received $132 from selling ¹₅ of the large coconuts.

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

Small coconuts	Medium coconuts	Large coconuts
	2x5	1x5
1x1		5x1
1 u	10 u	5 u

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

	Small coconuts	Medium coconuts	Large coconuts
Before	1 u	10 u	5 u
Change	- 1 u	- 10 u	- 1 u
After	0	0	4 u

Number of large coconuts that Ryan sold
= ¹₅ x 5 u
= 1 u

	Small coconuts	Medium coconuts	Large coconuts
Number	1 u	10 u	1 u
Value	$3	$4	$6
Total value	3 u	40 u	6 u

Amount that Ryan received from selling of ¹₅ of the large coconuts = 6 u
6 u = 132

1 u = 132 ÷ 6 = 22

Number of large coconuts at first
= 5 u
= 5 x 22
= 110

(b)
Amount that Ryan collected less from selling the small coconuts than the medium coconuts
= 40 u - 3 u
= 37 u
= 37 x 22
= $814

Answer(s): (a) 110; (b) $814