At the old home fill'er up and keep on a-truckin' cafe, mavis mixes two different types of coffee beans to produce a house blend. the first type costs $2 per pound and the second costs $7 per pound.
how much of each type does mavis use to make 75 pounds of a blend which costs $4 per pound?

There are 45 pounds and 30 pounds of each type respectively.

Step-by-step explanation:

Since we have given that

Cost of first type = $2 per pound

Cost of second type = $7 per pound

Cost of mixture = $4 per pound

So, we need to find the quantity of each type to make 75 pounds of a blend.

We will use "Mixture and Allegations":

  First type         Second type

       2                         7

                     4

---------------------------------------------------

     7  - 4       :              4 - 2

      3             :                2

So, Quantity of first type would be

Quantity of second type would be

Hence, there are 45 pounds and 30 pounds of each type respectively.