Small coconuts	Medium coconuts	Large coconuts
$3	$4	$5

Gabriel had some coconuts in 3 sizes. The number of medium coconuts was twice the number of large coconuts. The number of large coconuts were thrice the number of small coconuts. He sold all the small and medium coconuts. He received $100 from selling ²₃ 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
	2x3	1x3
1x1		3x1
1 u	6 u	3 u

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

	Small coconuts	Medium coconuts	Large coconuts
Before	1 u	6 u	3 u
Change	- 1 u	- 6 u	- 2 u
After	0	0	1 u

Number of large coconuts that Gabriel sold
= ²₃ x 3 u
= 2 u

	Small coconuts	Medium coconuts	Large coconuts
Number	1 u	6 u	2 u
Value	$3	$4	$5
Total value	3 u	24 u	10 u

Amount that Gabriel received from selling of ²₃ of the large coconuts = 10 u
10 u = 100

1 u = 100 ÷ 10 = 10

Number of large coconuts at first
= 3 u
= 3 x 10
= 30

(b)
Amount that Gabriel collected less from selling the small coconuts than the medium coconuts
= 24 u - 3 u
= 21 u
= 21 x 10
= $210

Answer(s): (a) 30; (b) $210