Chapter 3 – Systems of Chapter 3 – Systems of Linear EquationsLinear Equations

3.1 - 3.3 – Solving Systems of 3.1 - 3.3 – Solving Systems of Equations Word ProblemsEquations Word Problems

3.1 - 3.3 – Solving Systems of 3.1 - 3.3 – Solving Systems of Equations Word ProblemsEquations Word Problems

Example 1Example 1– A sheet metal shop ordered 50 pounds of tin and 25 A sheet metal shop ordered 50 pounds of tin and 25

pounds of a zinc alloy for a total cost of $350.00. A pounds of a zinc alloy for a total cost of $350.00. A second purchase, at the same prices, included 30 second purchase, at the same prices, included 30 pounds of tin and 60 pounds of the zinc alloy. The pounds of tin and 60 pounds of the zinc alloy. The total cost was $570.00. Find the cost per pound of total cost was $570.00. Find the cost per pound of the tin and the zinc alloy.the tin and the zinc alloy.

3.1 - 3.3 – Solving Systems of 3.1 - 3.3 – Solving Systems of Equations Word ProblemsEquations Word Problems

Example 2Example 2– Suppose that 500 tickets were sold for a luncheon. Suppose that 500 tickets were sold for a luncheon.

Each adult’s ticket cost $2.50 and each child’s ticket Each adult’s ticket cost $2.50 and each child’s ticket cost $1.50. If the cash receipts totaled $880.00, how cost $1.50. If the cash receipts totaled $880.00, how many of each kind of ticket were sold?many of each kind of ticket were sold?

3.1 - 3.3 – Solving Systems of 3.1 - 3.3 – Solving Systems of Equations Word ProblemsEquations Word Problems

Example 3Example 3– Mary has 48 coins that total $8.00. If the coins are Mary has 48 coins that total $8.00. If the coins are

nickels and quarters, how many of each kind are nickels and quarters, how many of each kind are there?there?

3.1 - 3.3 – Solving Systems of 3.1 - 3.3 – Solving Systems of Equations Word ProblemsEquations Word Problems

Example 4Example 4– Find two numbers that meet the following criteria:Find two numbers that meet the following criteria:

Five times the larger number minus seven times Five times the larger number minus seven times the smaller number is one hundred eleven.the smaller number is one hundred eleven.

Two times the larger number plus two times the Two times the larger number plus two times the smaller number is one hundred two.smaller number is one hundred two.

3.1 - 3.3 – Solving Systems of 3.1 - 3.3 – Solving Systems of Equations Word ProblemsEquations Word Problems

HOMEWORKHOMEWORK

3.1 – 3.3 Homework Worksheet3.1 – 3.3 Homework Worksheet