### Concept (1)

Some word problems using systems of equations involve mixing two quantities with different prices. To solve mixture problems, knowledge of solving systems of equations. is necessary. Most often, these problems will have two variables, but more advanced problems have systems of equations with three variables. Other types of word problems using systems of equations include rate word problems and work word problems.

### Sample Problems (3)

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4 lbs of brand X coffee which costs \$7⁄lb were combined with 3 lbs of brand Y coffee which costs \$14⁄lb.

Find the cost per lb of the mixture.
###### Problem 1
How to solve word problems when mixing two quantities with different prices and the price of the mix is unknown.

Mrs. Park sells a peanut and raisin mix for \$6⁄lb.

How many pounds of raisins which costs \$7⁄lb should be added to 1 pound of peanuts which cost \$4⁄lb to make the mix cost \$6⁄lb?
###### Problem 2
How to solve word problems when mixing two quantities with different prices and the amount of one ingredient is unknown.
###### Problem 3
Solving mixture word problems that involve amount and cost of items by writing a system of equations