Small coconuts	Medium coconuts	Large coconuts
$2	$3	$4

Ethan had some coconuts in 3 sizes. The number of medium coconuts was twice the number of large coconuts. The number of large coconuts were four times the number of small coconuts. He sold all the small and medium coconuts. He received $16 from selling ¹₄ 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
	2x4	1x4
1x1		4x1
1 u	8 u	4 u

(a)
The number of large coconuts is the repeated identity. Make the number of large coconuts the same.  LCM of 1 and 4 is 4.

	Small coconuts	Medium coconuts	Large coconuts
Before	1 u	8 u	4 u
Change	- 1 u	- 8 u	- 1 u
After	0	0	3 u

Number of large coconuts that Ethan sold
= ¹₄ x 4 u
= 1 u

	Small coconuts	Medium coconuts	Large coconuts
Number	1 u	8 u	1 u
Value	$2	$3	$4
Total value	2 u	24 u	4 u

Amount that Ethan received from selling of ¹₄ of the large coconuts = 4 u
4 u = 16

1 u = 16 ÷ 4 = 4

Number of large coconuts at first
= 4 u
= 4 x 4
= 16

(b)
Amount that Ethan collected less from selling the small coconuts than the medium coconuts
= 24 u - 2 u
= 22 u
= 22 x 4
= $88

Answer(s): (a) 16; (b) $88