Small mangoes	Medium mangoes	Large mangoes
$3	$4	$8

Riordan had some mangoes in 3 sizes. The number of medium mangoes was thrice the number of large mangoes. The number of large mangoes were four times the number of small mangoes. He sold all the small and medium mangoes. He received $152 from selling ¹₄ of the large mangoes.Riordan had some mangoes in 3 sizes. 
He sold all the small and medium mangoes. He received $152 from selling ¹₄ of the large mangoes.

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

Small mangoes	Medium mangoes	Large mangoes
	3x4	1x4
1x1		4x1
1 u	12 u	4 u

(a)
The number of large mangoes is the repeated identity. Make the number of large mangoes the same.  LCM of 1 and 4 is 4.

	Small mangoes	Medium mangoes	Large mangoes
Before	1 u	12 u	4 u
Change	- 1 u	- 12 u	- 1 u
After	0	0	3 u

Number of large mangoes that Riordan sold
= ¹₄ x 4 u
= 1 u

	Small mangoes	Medium mangoes	Large mangoes
Number	1 u	12 u	1 u
Value	$3	$4	$8
Total value	3 u	48 u	8 u

Amount that Riordan received from selling of ¹₄ of the large mangoes = 8 u
8 u = 152

1 u = 152 ÷ 8 = 19

Number of medium mangoes at first
= 12 u
= 12 x 19
= 228

(b)
Amount that Riordan collected more from selling the medium mangoes than the small mangoes
= 48 u - 3 u
= 45 u
= 45 x 19
= $855

Answer(s): (a) 228; (b) $855