Small avocados	Medium avocados	Large avocados
$3	$6	$9

Xavier had some avocados in 3 sizes. The number of medium avocados was twice the number of large avocados. The number of large avocados were five times the number of small avocados. He sold all the small and medium avocados. He received $513 from selling ³₅ of the large avocados.Xavier had some avocados in 3 sizes. 
He sold all the small and medium avocados. He received $513 from selling ³₅ of the large avocados.

1. How many medium avocados did he have at first?
2. How much more did he collect from selling the medium avocados than the small avocados?

Small avocados	Medium avocados	Large avocados
	2x5	1x5
1x1		5x1
1 u	10 u	5 u

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

	Small avocados	Medium avocados	Large avocados
Before	1 u	10 u	5 u
Change	- 1 u	- 10 u	- 3 u
After	0	0	2 u

Number of large avocados that Xavier sold
= ³₅ x 5 u
= 3 u

	Small avocados	Medium avocados	Large avocados
Number	1 u	10 u	3 u
Value	$3	$6	$9
Total value	3 u	60 u	27 u

Amount that Xavier received from selling of ³₅ of the large avocados = 27 u
27 u = 513

1 u = 513 ÷ 27 = 19

Number of medium avocados at first
= 10 u
= 10 x 19
= 190

(b)
Amount that Xavier collected more from selling the medium avocados than the small avocados
= 60 u - 3 u
= 57 u
= 57 x 19
= $1083

Answer(s): (a) 190; (b) $1083