What is the solution to this math word problem?

 The Quality Mushroom Company sells 

 small mushrooms for $5.95 per pound and large mushrooms for $6.95 per pound.   How many pounds of large mushrooms should be mixed with 

 2 pounds of small ones in order to create a mixture that sells for $6.75 per pound?

 Let x be the number of pounds of large mushrooms.

 2 * 5.95 = 11.90

 11.90 + 6.95x

 (11.90 + 6.95x) / (x + 2) = 6.75

 11.90 + 6.95x = 6.75(x + 2)

 11.90 + 6.95x = 6.75x + 13.50

 0.20x = 1.60

 x = 1.6 / 0.2

 x = 8

 You need 8 pounds of large mushrooms.

Let x = number of pounds of large mushrooms.

You want $6.75 per pound so you need to divide the total cost divided by the total pounds.

We know there is 2 pounds of small at $5.95 per pound, so that's a total cost of:

2 * 5.95 = 11.90

Add that to $6.95 per pound for "x" pounds for the total cost:

11.90 + 6.95x

Then divide that by the total number of pounds (x + 2), and set it equal to 6.75:

(11.90 + 6.95x) / (x + 2) = 6.75

Now we can solve for x.  Start by multiplying both sides by (x + 2):

11.90 + 6.95x = 6.75(x + 2)

11.90 + 6.95x = 6.75x + 13.50

0.20x = 1.60

x = 1.6 / 0.2

x = 8

You need 8 pounds of large mushrooms.