<PRE><B>Question 140765</B>
Portobello mushrooms sel for $6.60/kg and oyster mushrooms sell for $11.00/kg. Find the mass of each type of mushroom in 1 -kg bags selling for $8.36.
:
Let x = amt of p mushrooms
The total will be 1 kg so we can say:
(1-x) = amt of o mushrooms
:
A typical mixture equation
6.6x + 11(1-x) = 8.36(1)
:
6.6x + 11 - 11x = 8.36
:
6.6x - 11x = 8.36 - 11
:
-4.4x = -2.64
x = {{{(-2.64)/(-4.4)}}}
x = +.6 kg of the p mushrooms
then
1 -.6 = .4 kg of the o mushrooms (in a kg bag)
:
:
We can check this out:
6.6(.6) + 11(.4) = 
3.96 + 4.40 = 8.36</PRE>