Small dragon fruits	Medium dragon fruits	Large dragon fruits
$2	$6	$8

Julian had some dragon fruits in 3 sizes. The number of medium dragon fruits was five 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 $256 from selling ²₃ of the large dragon fruits.

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

Small dragon fruits	Medium dragon fruits	Large dragon fruits
	5x3	1x3
1x1		3x1
1 u	15 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	15 u	3 u
Change	- 1 u	- 15 u	- 2 u
After	0	0	1 u

Number of large dragon fruits that Julian sold
= ²₃ x 3 u
= 2 u

	Small dragon fruits	Medium dragon fruits	Large dragon fruits
Number	1 u	15 u	2 u
Value	$2	$6	$8
Total value	2 u	90 u	16 u

Amount that Julian received from selling of ²₃ of the large dragon fruits = 16 u
16 u = 256

1 u = 256 ÷ 16 = 16

Number of large dragon fruits at first
= 3 u
= 3 x 16
= 48

(b)
Amount that Julian collected less from selling the small dragon fruits than the medium dragon fruits
= 90 u - 2 u
= 88 u
= 88 x 16
= $1408

Answer(s): (a) 48; (b) $1408