# How do you create your equations when working on a mixture word problem?

##### 1 Answer

Let's try to think about the general form of a word problem involving mixtures.

In general, we have the following scenario:

- a merchant sells
**two kinds of products**(coffee, sweets, etc). -
we know the

**unit prices for both kinds of products and for the final mixture**

#p_1# US dollars per pound for the first kind of product,

#p_2# US dollars per pound for the second kind of product

#p_m# US dollars per pound for the mixture -
we know the

**total quantity formed by the mixture**of the two products (#q# pounds) - we have to
**find out the quantities of each product**needed to form the mixture

(here we have the**variables**:#x# denoting the quantity of the first kind of product and#y# denoting the quantity of the second kind of product)

Now, we have sufficient information to work out the equations.

First, we know that the sum of the two quantities is **first equation**:

Second, we know that the sale price is the product of quantity and unit price, which gives us the **second equation**:

Now, we have a system of two linear equations that can be easily solved by substitution.