Small papayas	Medium papayas	Large papayas
$3	$4	$9

Howard had some papayas in 3 sizes. The number of medium papayas was twice the number of large papayas. The number of large papayas were thrice the number of small papayas. He sold all the small and medium papayas. He received $360 from selling ²₃ of the large papayas.

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

Small papayas	Medium papayas	Large papayas
	2x3	1x3
1x1		3x1
1 u	6 u	3 u

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

	Small papayas	Medium papayas	Large papayas
Before	1 u	6 u	3 u
Change	- 1 u	- 6 u	- 2 u
After	0	0	1 u

Number of large papayas that Howard sold
= ²₃ x 3 u
= 2 u

	Small papayas	Medium papayas	Large papayas
Number	1 u	6 u	2 u
Value	$3	$4	$9
Total value	3 u	24 u	18 u

Amount that Howard received from selling of ²₃ of the large papayas = 18 u
18 u = 360

1 u = 360 ÷ 18 = 20

Number of large papayas at first
= 3 u
= 3 x 20
= 60

(b)
Amount that Howard collected less from selling the small papayas than the medium papayas
= 24 u - 3 u
= 21 u
= 21 x 20
= $420

Answer(s): (a) 60; (b) $420