Small papayas	Medium papayas	Large papayas
$3	$6	$7

Tom 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 $147 from selling ¹₅ of the large papayas.Tom had some papayas in 3 sizes. 
He sold all the small and medium papayas. He received $147 from selling ¹₅ 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
	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	- 1 u
After	0	0	4 u

Number of large papayas that Tom sold
= ¹₅ x 5 u
= 1 u

	Small papayas	Medium papayas	Large papayas
Number	1 u	20 u	1 u
Value	$3	$6	$7
Total value	3 u	120 u	7 u

Amount that Tom received from selling of ¹₅ of the large papayas = 7 u
7 u = 147

1 u = 147 ÷ 7 = 21

Number of medium papayas at first
= 20 u
= 20 x 21
= 420

(b)
Amount that Tom collected more from selling the medium papayas than the small papayas
= 120 u - 3 u
= 117 u
= 117 x 21
= $2457

Answer(s): (a) 420; (b) $2457