Small mangoes	Medium mangoes	Large mangoes
$5	$8	$9

Reggie had some mangoes in 3 sizes. The number of medium mangoes was thrice the number of large mangoes. The number of large mangoes were five times the number of small mangoes. He sold all the small and medium mangoes. He received $135 from selling ³₅ of the large mangoes.Reggie had some mangoes in 3 sizes. 
He sold all the small and medium mangoes. He received $135 from selling ³₅ 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
	3x5	1x5
1x1		5x1
1 u	15 u	5 u

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

	Small mangoes	Medium mangoes	Large mangoes
Before	1 u	15 u	5 u
Change	- 1 u	- 15 u	- 3 u
After	0	0	2 u

Number of large mangoes that Reggie sold
= ³₅ x 5 u
= 3 u

	Small mangoes	Medium mangoes	Large mangoes
Number	1 u	15 u	3 u
Value	$5	$8	$9
Total value	5 u	120 u	27 u

Amount that Reggie received from selling of ³₅ of the large mangoes = 27 u
27 u = 135

1 u = 135 ÷ 27 = 5

Number of medium mangoes at first
= 15 u
= 15 x 5
= 75

(b)
Amount that Reggie collected more from selling the medium mangoes than the small mangoes
= 120 u - 5 u
= 115 u
= 115 x 5
= $575

Answer(s): (a) 75; (b) $575