Small grapefruits	Medium grapefruits	Large grapefruits
$2	$4	$7

Glen 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 $504 from selling ³₅ of the large grapefruits.Glen had some grapefruits in 3 sizes. 
He sold all the small and medium grapefruits. He received $504 from selling ³₅ of the large grapefruits.

1. How many medium grapefruits did he have at first?
2. How much more did he collect from selling the medium grapefruits than the small 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	- 3 u
After	0	0	2 u

Number of large grapefruits that Glen sold
= ³₅ x 5 u
= 3 u

	Small grapefruits	Medium grapefruits	Large grapefruits
Number	1 u	15 u	3 u
Value	$2	$4	$7
Total value	2 u	60 u	21 u

Amount that Glen received from selling of ³₅ of the large grapefruits = 21 u
21 u = 504

1 u = 504 ÷ 21 = 24

Number of medium grapefruits at first
= 15 u
= 15 x 24
= 360

(b)
Amount that Glen collected more from selling the medium grapefruits than the small grapefruits
= 60 u - 2 u
= 58 u
= 58 x 24
= $1392

Answer(s): (a) 360; (b) $1392