Small coconuts	Medium coconuts	Large coconuts
$4	$6	$7

Andy had some coconuts in 3 sizes. The number of medium coconuts was four times 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 $168 from selling ¹₅ of the large coconuts.Andy had some coconuts in 3 sizes. 
He sold all the small and medium coconuts. He received $168 from selling ¹₅ of the large coconuts.

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

Small coconuts	Medium coconuts	Large coconuts
	4x5	1x5
1x1		5x1
1 u	20 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	20 u	5 u
Change	- 1 u	- 20 u	- 1 u
After	0	0	4 u

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

	Small coconuts	Medium coconuts	Large coconuts
Number	1 u	20 u	1 u
Value	$4	$6	$7
Total value	4 u	120 u	7 u

Amount that Andy received from selling of ¹₅ of the large coconuts = 7 u
7 u = 168

1 u = 168 ÷ 7 = 24

Number of medium coconuts at first
= 20 u
= 20 x 24
= 480

(b)
Amount that Andy collected more from selling the medium coconuts than the small coconuts
= 120 u - 4 u
= 116 u
= 116 x 24
= $2784

Answer(s): (a) 480; (b) $2784