Small papayas	Medium papayas	Large papayas
$2	$4	$5

Henry 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 $100 from selling ¹₃ of the large papayas.Henry had some papayas in 3 sizes. 
He sold all the small and medium papayas. He received $100 from selling ¹₃ of the large papayas.

1. How many medium papayas did he have at first?
2. How much more did he collect from selling the medium papayas than the small 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	- 1 u
After	0	0	2 u

Number of large papayas that Henry sold
= ¹₃ x 3 u
= 1 u

	Small papayas	Medium papayas	Large papayas
Number	1 u	6 u	1 u
Value	$2	$4	$5
Total value	2 u	24 u	5 u

Amount that Henry received from selling of ¹₃ of the large papayas = 5 u
5 u = 100

1 u = 100 ÷ 5 = 20

Number of medium papayas at first
= 6 u
= 6 x 20
= 120

(b)
Amount that Henry collected more from selling the medium papayas than the small papayas
= 24 u - 2 u
= 22 u
= 22 x 20
= $440

Answer(s): (a) 120; (b) $440