Small mangoes	Medium mangoes	Large mangoes
$3	$4	$6

Elijah had some mangoes in 3 sizes. The number of medium mangoes was five times the number of large mangoes. The number of large mangoes were thrice the number of small mangoes. He sold all the small and medium mangoes. He received $60 from selling ¹₃ of the large mangoes.

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

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

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

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

Number of large mangoes that Elijah sold
= ¹₃ x 3 u
= 1 u

	Small mangoes	Medium mangoes	Large mangoes
Number	1 u	15 u	1 u
Value	$3	$4	$6
Total value	3 u	60 u	6 u

Amount that Elijah received from selling of ¹₃ of the large mangoes = 6 u
6 u = 60

1 u = 60 ÷ 6 = 10

Number of large mangoes at first
= 3 u
= 3 x 10
= 30

(b)
Amount that Elijah collected less from selling the small mangoes than the medium mangoes
= 60 u - 3 u
= 57 u
= 57 x 10
= $570

Answer(s): (a) 30; (b) $570