Small papayas	Medium papayas	Large papayas
$5	$6	$9

Elijah had some papayas in 3 sizes. The number of medium papayas was five times 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 $378 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
	5x3	1x3
1x1		3x1
1 u	15 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	15 u	3 u
Change	- 1 u	- 15 u	- 2 u
After	0	0	1 u

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

	Small papayas	Medium papayas	Large papayas
Number	1 u	15 u	2 u
Value	$5	$6	$9
Total value	5 u	90 u	18 u

Amount that Elijah received from selling of ²₃ of the large papayas = 18 u
18 u = 378

1 u = 378 ÷ 18 = 21

Number of large papayas at first
= 3 u
= 3 x 21
= 63

(b)
Amount that Elijah collected less from selling the small papayas than the medium papayas
= 90 u - 5 u
= 85 u
= 85 x 21
= $1785

Answer(s): (a) 63; (b) $1785