For each problem, state the matrix equation and use your ...



Setting up Systems, Writing Matrix Equations and Solving

Name ____________________________

For each problem, state the matrix equation and use your calculator to solve for each unknown.

1. [pic]

2. The Arcadium arcade in Lynchburg, Tennessee uses 3 different colored tokens for their game machines.  For $20 you can purchase any of the following mixtures of tokens:  14 gold, 20 silver, and 24 bronze; OR, 20 gold, 15 silver, and 19 bronze; OR, 30 gold, 5 silver, and 13 bronze.  What is the monetary value of each token?

3. Marina had $24,500 to invest.  She divided the money into three different accounts. At the end of the year, she had made $1,300 in interest.  The annual yield on each of the three accounts was 4%, 5.5%, and 6%.  If the amount of money in the 4% account was four times the amount of money in the 5.5% account, how much had she placed in each account?

4. One hundred and twenty people attended a musical. The total amount of money collected for tickets was $1515. Prices were $15 for regular adult admission, $12 form children, and $10 for senior citizens. Twice as many children’s tickets as regular adult tickets were sold. How many of each type of ticket was sold?

5. A total of $10,000 was invested in two certificates of deposit that earned 6% per year and 8% per year. If the investments earned $750 in interest each year, find the amount invested at each rate.

6. The measure of the largest angle of a certain triangle is 3 times the measure of the smallest angle. The measure of the remaining angle of the triangle is the average of the measures of the largest and smallest angles. Find the measure of each angle.

7. When Dale baby-sat for 8 hours and worked at a restaurant for 3 hours, he made a total of $58. When he worked at the restaurant for 5 hours and baby-sat for 2 hours, he made a total of $40. How much does Dale get paid for each type of work?

Setting up Systems, Writing Matrix Equations and Solving

Name ____________________________

For each problem, state the matrix equation and use your calculator to solve for each unknown.

1. [pic]

4. The Arcadium arcade in Lynchburg, Tennessee uses 3 different colored tokens for their game machines.  For $20 you can purchase any of the following mixtures of tokens:  14 gold, 20 silver, and 24 bronze; OR, 20 gold, 15 silver, and 19 bronze; OR, 30 gold, 5 silver, and 13 bronze.  What is the monetary value of each token?

5. Marina had $24,500 to invest.  She divided the money into three different accounts. At the end of the year, she had made $1,300 in interest.  The annual yield on each of the three accounts was 4%, 5.5%, and 6%.  If the amount of money in the 4% account was four times the amount of money in the 5.5% account, how much had she placed in each account?

4. One hundred and twenty people attended a musical. The total amount of money collected for tickets was $1515. Prices were $15 for regular adult admission, $12 form children, and $10 for senior citizens. Twice as many children’s tickets as regular adult tickets were sold. How many of each type of ticket was sold?

5. A total of $10,000 was invested in two certificates of deposit that earned 6% per year and 8% per year. If the investments earned $750 in interest each year, find the amount invested at each rate.

6. The measure of the largest angle of a certain triangle is 3 times the measure of the smallest angle. The measure of the remaining angle of the triangle is the average of the measures of the largest and smallest angles. Find the measure of each angle.

7. When Dale baby-sat for 8 hours and worked at a restaurant for 3 hours, he made a total of $58. When he worked at the restaurant for 5 hours and baby-sat for 2 hours, he made a total of $40. How much does Dale get paid for each type of work?

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