Small grapefruits	Medium grapefruits	Large grapefruits
$3	$6	$7

Perry had some grapefruits in 3 sizes. The number of medium grapefruits was four times 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 $154 from selling ²₅ of the large grapefruits.Perry had some grapefruits in 3 sizes. 
He sold all the small and medium grapefruits. He received $154 from selling ²₅ 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
	4x5	1x5
1x1		5x1
1 u	20 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	20 u	5 u
Change	- 1 u	- 20 u	- 2 u
After	0	0	3 u

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

	Small grapefruits	Medium grapefruits	Large grapefruits
Number	1 u	20 u	2 u
Value	$3	$6	$7
Total value	3 u	120 u	14 u

Amount that Perry received from selling of ²₅ of the large grapefruits = 14 u
14 u = 154

1 u = 154 ÷ 14 = 11

Number of medium grapefruits at first
= 20 u
= 20 x 11
= 220

(b)
Amount that Perry collected more from selling the medium grapefruits than the small grapefruits
= 120 u - 3 u
= 117 u
= 117 x 11
= $1287

Answer(s): (a) 220; (b) $1287