Small durians	Medium durians	Large durians
$3	$4	$7

Daniel had some durians in 3 sizes. The number of medium durians was twice the number of large durians. The number of large durians were four times the number of small durians. He sold all the small and medium durians. He received $35 from selling ¹₄ of the large durians.

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

Small durians	Medium durians	Large durians
	2x4	1x4
1x1		4x1
1 u	8 u	4 u

(a)
The number of large durians is the repeated identity. Make the number of large durians the same.  LCM of 1 and 4 is 4.

	Small durians	Medium durians	Large durians
Before	1 u	8 u	4 u
Change	- 1 u	- 8 u	- 1 u
After	0	0	3 u

Number of large durians that Daniel sold
= ¹₄ x 4 u
= 1 u

	Small durians	Medium durians	Large durians
Number	1 u	8 u	1 u
Value	$3	$4	$7
Total value	3 u	32 u	7 u

Amount that Daniel received from selling of ¹₄ of the large durians = 7 u
7 u = 35

1 u = 35 ÷ 7 = 5

Number of large durians at first
= 4 u
= 4 x 5
= 20

(b)
Amount that Daniel collected less from selling the small durians than the medium durians
= 32 u - 3 u
= 29 u
= 29 x 5
= $145

Answer(s): (a) 20; (b) $145