Small dragon fruits	Medium dragon fruits	Large dragon fruits
$3	$5	$7

Paul had some dragon fruits in 3 sizes. The number of medium dragon fruits was thrice the number of large dragon fruits. The number of large dragon fruits were four times the number of small dragon fruits. He sold all the small and medium dragon fruits. He received $91 from selling ¹₄ 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
	3x4	1x4
1x1		4x1
1 u	12 u	4 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 4 is 4.

	Small dragon fruits	Medium dragon fruits	Large dragon fruits
Before	1 u	12 u	4 u
Change	- 1 u	- 12 u	- 1 u
After	0	0	3 u

Number of large dragon fruits that Paul sold
= ¹₄ x 4 u
= 1 u

	Small dragon fruits	Medium dragon fruits	Large dragon fruits
Number	1 u	12 u	1 u
Value	$3	$5	$7
Total value	3 u	60 u	7 u

Amount that Paul received from selling of ¹₄ of the large dragon fruits = 7 u
7 u = 91

1 u = 91 ÷ 7 = 13

Number of large dragon fruits at first
= 4 u
= 4 x 13
= 52

(b)
Amount that Paul collected less from selling the small dragon fruits than the medium dragon fruits
= 60 u - 3 u
= 57 u
= 57 x 13
= $741

Answer(s): (a) 52; (b) $741