Small papayas	Medium papayas	Large papayas
$3	$7	$8

Caden had some papayas in 3 sizes. The number of medium papayas was four times the number of large papayas. The number of large papayas were five times the number of small papayas. He sold all the small and medium papayas. He received $144 from selling ²₅ 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
	4x5	1x5
1x1		5x1
1 u	20 u	5 u

(a)
The number of large papayas is the repeated identity. Make the number of large papayas the same.  LCM of 1 and 5 is 5.

	Small papayas	Medium papayas	Large papayas
Before	1 u	20 u	5 u
Change	- 1 u	- 20 u	- 2 u
After	0	0	3 u

Number of large papayas that Caden sold
= ²₅ x 5 u
= 2 u

	Small papayas	Medium papayas	Large papayas
Number	1 u	20 u	2 u
Value	$3	$7	$8
Total value	3 u	140 u	16 u

Amount that Caden received from selling of ²₅ of the large papayas = 16 u
16 u = 144

1 u = 144 ÷ 16 = 9

Number of large papayas at first
= 5 u
= 5 x 9
= 45

(b)
Amount that Caden collected less from selling the small papayas than the medium papayas
= 140 u - 3 u
= 137 u
= 137 x 9
= $1233

Answer(s): (a) 45; (b) $1233