# Question #93e34

##### 1 Answer

cashews

hazelnuts

#### Explanation:

Since we are required to find two quantities, we have two unknowns and need to formulate two equations.

Let us mix with 50 lbs of peanuts cashews

And let us mix with 50 lbs of peanuts hazelnuts

Total mixture

This gives us first equation

Cost of

Cost of

Cost of 50 lbs of peanuts

Total cost of mixture

Per lb cost of mixture gives us the second equation

To eliminate decimals multiplying both sides by

To solve the set of equation. From (1) we obtain

inserting in (2) we get

This gives us