Small guavas	Medium guavas	Large guavas
$5	$7	$8

Rael had some guavas in 3 sizes. The number of medium guavas was five times the number of large guavas. The number of large guavas were thrice the number of small guavas. He sold all the small and medium guavas. He received $336 from selling ²₃ of the large guavas.

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

Small guavas	Medium guavas	Large guavas
	5x3	1x3
1x1		3x1
1 u	15 u	3 u

(a)
The number of large guavas is the repeated identity. Make the number of large guavas the same.  LCM of 1 and 3 is 3.

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

Number of large guavas that Rael sold
= ²₃ x 3 u
= 2 u

	Small guavas	Medium guavas	Large guavas
Number	1 u	15 u	2 u
Value	$5	$7	$8
Total value	5 u	105 u	16 u

Amount that Rael received from selling of ²₃ of the large guavas = 16 u
16 u = 336

1 u = 336 ÷ 16 = 21

Number of large guavas at first
= 3 u
= 3 x 21
= 63

(b)
Amount that Rael collected less from selling the small guavas than the medium guavas
= 105 u - 5 u
= 100 u
= 100 x 21
= $2100

Answer(s): (a) 63; (b) $2100