Small dragon fruits	Medium dragon fruits	Large dragon fruits
$2	$3	$9

Cody had some dragon fruits in 3 sizes. The number of medium dragon fruits was four times the number of large dragon fruits. The number of large dragon fruits were thrice the number of small dragon fruits. He sold all the small and medium dragon fruits. He received $126 from selling ¹₃ of the large dragon fruits.Cody had some dragon fruits in 3 sizes. 
He sold all the small and medium dragon fruits. He received $126 from selling ¹₃ of the large dragon fruits.

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

Small dragon fruits	Medium dragon fruits	Large dragon fruits
	4x3	1x3
1x1		3x1
1 u	12 u	3 u

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

	Small dragon fruits	Medium dragon fruits	Large dragon fruits
Before	1 u	12 u	3 u
Change	- 1 u	- 12 u	- 1 u
After	0	0	2 u

Number of large dragon fruits that Cody sold
= ¹₃ x 3 u
= 1 u

	Small dragon fruits	Medium dragon fruits	Large dragon fruits
Number	1 u	12 u	1 u
Value	$2	$3	$9
Total value	2 u	36 u	9 u

Amount that Cody received from selling of ¹₃ of the large dragon fruits = 9 u
9 u = 126

1 u = 126 ÷ 9 = 14

Number of medium dragon fruits at first
= 12 u
= 12 x 14
= 168

(b)
Amount that Cody collected more from selling the medium dragon fruits than the small dragon fruits
= 36 u - 2 u
= 34 u
= 34 x 14
= $476

Answer(s): (a) 168; (b) $476