Small papayas	Medium papayas	Large papayas
$2	$5	$6

Glen had some papayas in 3 sizes. The number of medium papayas was twice the number of large papayas. The number of large papayas were four times the number of small papayas. He sold all the small and medium papayas. He received $54 from selling ¹₄ 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
	2x4	1x4
1x1		4x1
1 u	8 u	4 u

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

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

Number of large papayas that Glen sold
= ¹₄ x 4 u
= 1 u

	Small papayas	Medium papayas	Large papayas
Number	1 u	8 u	1 u
Value	$2	$5	$6
Total value	2 u	40 u	6 u

Amount that Glen received from selling of ¹₄ of the large papayas = 6 u
6 u = 54

1 u = 54 ÷ 6 = 9

Number of large papayas at first
= 4 u
= 4 x 9
= 36

(b)
Amount that Glen collected less from selling the small papayas than the medium papayas
= 40 u - 2 u
= 38 u
= 38 x 9
= $342

Answer(s): (a) 36; (b) $342