3.4 3x3 Word Problems3.4 3x3 Word Problems

Algebra 2 Standard 2.0Algebra 2 Standard 2.0

Warm UpsWarm Ups

Key Concept-Elimination MethodKey Concept-Elimination Method

►Step1Step1: Identify the variables.: Identify the variables.►Step2Step2: Set up the three equations : Set up the three equations

system using the variables.system using the variables.►Step3Step3: Solve the system, and check : Solve the system, and check

your solutions. Write the answers in your solutions. Write the answers in complete sentence form.complete sentence form.

Example 1Example 1

The sum of three numbers is 14.  The largest is 4 times the smallest, while the sum of the smallest and twice the largest is 18.  Find the numbers.

Step1: Define the variablesStep1: Define the variablesStep2: Write the systems using the Step2: Write the systems using the

variables.variables.

Step 3: Solve the system.Step 3: Solve the system.

Example 2Example 2

Tasty Bakery sells three kinds of muffins: chocolate chip muffins at 40 cents each, oatmeal muffins at 45 cents each, and cranberry muffins at 50 cents each. Charles buys some of each kind and chooses three times as many cranberry muffins as chocolate chip muffins. If he spends $7.95 on 17 muffins, how many chocolate chip muffins did he buy?

Step1: Define the variablesStep1: Define the variablesStep2: Write the systems using the Step2: Write the systems using the

variables.variables.

Step 3: Solve the system.Step 3: Solve the system.

Homework #30Homework #30

►3x3 Word problem WS.3x3 Word problem WS.