Small coconuts	Medium coconuts	Large coconuts
$3	$4	$9

Ivan had some coconuts in 3 sizes. The number of medium coconuts was thrice 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 $99 from selling ¹₄ of the large coconuts.Ivan had some coconuts in 3 sizes. 
He sold all the small and medium coconuts. He received $99 from selling ¹₄ 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
	3x4	1x4
1x1		4x1
1 u	12 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	12 u	4 u
Change	- 1 u	- 12 u	- 1 u
After	0	0	3 u

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

	Small coconuts	Medium coconuts	Large coconuts
Number	1 u	12 u	1 u
Value	$3	$4	$9
Total value	3 u	48 u	9 u

Amount that Ivan received from selling of ¹₄ of the large coconuts = 9 u
9 u = 99

1 u = 99 ÷ 9 = 11

Number of medium coconuts at first
= 12 u
= 12 x 11
= 132

(b)
Amount that Ivan collected more from selling the medium coconuts than the small coconuts
= 48 u - 3 u
= 45 u
= 45 x 11
= $495

Answer(s): (a) 132; (b) $495