Small grapefruits	Medium grapefruits	Large grapefruits
$2	$4	$6

Flynn had some grapefruits in 3 sizes. The number of medium grapefruits was thrice the number of large grapefruits. The number of large grapefruits were five times the number of small grapefruits. He sold all the small and medium grapefruits. He received $48 from selling ²₅ of the large grapefruits.

1. How many large grapefruits did he have at first?
2. How much less did he collect from selling the small grapefruits than the medium grapefruits?

Small grapefruits	Medium grapefruits	Large grapefruits
	3x5	1x5
1x1		5x1
1 u	15 u	5 u

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

	Small grapefruits	Medium grapefruits	Large grapefruits
Before	1 u	15 u	5 u
Change	- 1 u	- 15 u	- 2 u
After	0	0	3 u

Number of large grapefruits that Flynn sold
= ²₅ x 5 u
= 2 u

	Small grapefruits	Medium grapefruits	Large grapefruits
Number	1 u	15 u	2 u
Value	$2	$4	$6
Total value	2 u	60 u	12 u

Amount that Flynn received from selling of ²₅ of the large grapefruits = 12 u
12 u = 48

1 u = 48 ÷ 12 = 4

Number of large grapefruits at first
= 5 u
= 5 x 4
= 20

(b)
Amount that Flynn collected less from selling the small grapefruits than the medium grapefruits
= 60 u - 2 u
= 58 u
= 58 x 4
= $232

Answer(s): (a) 20; (b) $232