10th Grade Math Matrices Word Problems

This page is for tenth grade math students who need help, and for teachers and tutors who are looking for word problems on matrices.

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Tenth Grade: Matrices Word Problems

Steve catches 8 crocodiles
Steve catches 8 crocodiles on Sunday morning and 10 Sunday afternoon. On Wednesday morning, he catches 10 crocodiles in the morning and 9 crocodiles in the ...
A company`s employees are working
A company's employees are working to create a new energy bar. They would like the two key ingredients to be peanut butter and oats, and they want to make sure they have enough carbohydrates and protein in the bar to supply the athlete. They want a total of 31 carbohydrates and 23 grams of protein to make the bar sufficient. Using the following table, create a system of two equations and two unknowns to find how many tablespoons of each ingredient the bar will need. Solve the system of equations using matrices. Show all work to receive full credit.


CarbohydratesProtein
Peanut Butter2 6
Oats51
A football stadium has 60,000 seats
A football stadium has 60,000 seats. The manager divides the stadium into two sections for the exhibition games, the games the home team plays outside its division, and the games it plays within its division. The tickets are worth $19 in section A and $14 in section B. Assuming that all tickets can be sold, how many seats must he assign to each section on says of an exhibition game, a game outside the division, and a game within the division to bring in the following revenues: $970,000 for each exhibition game, $990,000 for each game outside the division, and $1,120...
A chemist has 3 containers of acid solution
A chemist has 3 containers of acid solution at various concentrations. The first is 10% acid, the second is 20% and the third is 40%. How many milliliters of each should he mix together to make 100mL of acid at 18% ...
A group of students decides to sell pizzas
A group of students decides to sell pizzas to help raise money for their senior class trip. They sold pepperoni for $12, sausage for $10, and cheese for $8. At the end of their sales the class sold a total of 600 pizzas and made $5900. The students sold 175 more cheese pizzas than sausage pizzas. Set up a system of three equations and three unknowns, use an augmented matrix to ...
A small fish market sells only tuna and salmon
A small fish market sells only tuna and salmon. A tuna costs the fish market $1.75 per pound to buy an $1.00 per pound to clean and package. A salmon cost the fish market $2.25 per pound to buy and $3.50 per pound to clean and package. The fish market makes $1.30 per pound profit for each tuna it sells and $1.60 per pound profit for each salmon it sells. The fish market can spend only $200 per day to buy fish and $225 per day to clean and package the ...
A small school has 100 students
A small school has 100 students who occupy three classrooms: A, B, and C. Adter the first period of the school day, half the students in room A move to room B, one fifth of the students in room B move to room C, and onethird of the students in room C move to room A. Nevertheless, the total number of students in each room is the same for both ...
A hotel chain has three different hotels in Paris
A hotel chain has three different hotels in Paris. The revenue (in thousands of dollars) from room rentals for one week in each hotel is $125, $600 and $340...
Poulson Law Firm handles 2 types of law suits
Poulson Law Firm handles 2 types of law suits: medical malpractice suits and wrongful termination
suits. Malpractice lawsuits each require 6 months of preparation and the hiring of 5 expert witnesses,
whereas termination lawsuits require 10 months of preparation and 3 expert witnesses. The firm has a
total of 30 months to work with and feels that it cannot afford to hire more than 15 expert witnesses.
It makes an average profit of $10,000 per doctor sued and $50,000 per employer ...
Multiplication Of Matrices
kate borrows 10,000 some from her friend at 8% annual interest, twice as much as that from her ank at 9%, and the remainder from her insurance company at 5%. She pays a total of $ 830 interest for the first ...
Multiplication Of Matrices
kate borrows 10,000 some from her friend at 8% annual interest, twice as much as that from her ank at 9%, and the remainder from her insurance company at 5%. She pays a total of $ 830 interest for the first year. How much did she borrow from each source/
Matrices
Big Red Bookstore wants to ship books from its warehouses in Brooklyn and Queens to its stores, one on Long Island and one in Manhattan. Its warehouse in Brooklyn has 1000 books, and its warehouse in Queens has 2000. Each store orders 1500 books. It costs $1 to ship each book from Brooklyn to Manhattan and $2 to ship each book from Queens to Manhattan. It costs $5 to ship each book from Brooklyn to Long Island and $4 to ship each book from Queens to Long Island. If Big Red has a transportation budget of $9000 and is willing to spend all of ...
Matrices
6 rabbits and 5 cats cost 305 and 2 rabbits and 9 cats cost 285...
Matrices
Five diabetic patients in a hospital each require injections of three kinds of insulin each day. The 5x3 matrix shown below gives the amounts of the three kinds of insulin each patient requires each day. If patient 1 plans to stay 10 days, patient 2 stays 5 days, patient 3 stays 20 days, patient 4 stays 10 days, and patient 5 stays 15 ...
Matrices
A piggy bank is filled with quarters and dimes if thee value of the coins is $32.35 and there are 196 coins ,how many of the coins are dimes
Matrices
A fast food company sells three specials. The number of hamburgers, french fry orders, and sodas in each special is summarized below. The day's reciept indicates that there were 300 hamburgers, 500 french fries, and 400 sodas sold. How many of each type of special were sold
Matrices
a 5lb nut mixture is worth $2.80 per pound.  The mixture contains peanuts worth $1.70 per pound and cashews worth $4.55 per ...
Matrices
To manufacture an automobile requires painting, drying, and polishing. Epsilon Motor Company produces 3 types of cars, the Delta, the Beta, and the Sigma. Each Delta requires 7 hours for painting, 3 hours for drying, and 4 hours for polishing. A Beta requires 13 hours for painting, 6 hours for drying, and 5 hours for polishing. A Sigma requires 9 hours for painting, 2 hours for drying, and 3 hours for polishing. If the company has 254 hours for painting, 90 hours for drying, and 100 hours for polishing per ...
Matrices
Cabrina and Dabney are attending a conference. After the conference. Cabrina drives home to Boise at an average speed of 75 miles per hour and Dabney drives hom to Portland at an average speed of 60 miles per hour. If the sum of their driving times is 11.6 hours and if the sum of the distance drives is 801 ...
Matrices
a preschool has a Campbell\'s chunky beef soup, which contains 2.5 g of fat and 15 mg of cholesterol per cup, and Campbell\'s Chunky Sirloin burger soup, which contains 7g of fat, and 15 mg of cholesterol per serving. By combining the soups, it is possible to get 10 servings of soup that will have 61 g of fat, and 150 mg of ...
Matrices
A radiator in a large truck has a capacity of 10 gallons. Currently the radiator fluid is 20% antifreeze. How much fluid should be drained out and replaced with a 75% antifreeze solution to bring the solution in the radiator to 50% ...
Matrices
Joe has a total of 14 pennies, dimes and quaters in his pocket, which total $1.22. The number of dimes and quarters combined is equal to the number of ...
Matrices
Michael Perez has a total of $2000 deposited with two savings accounts. One pays interest at a 6% rate, whereas the second pays interest at the rate of 8%. If Michael earned a total of $144 in interest during a single ...
Matrices
Tasty Bakery sells three kinds of muffins: chocolate chip muffins at 25 cents each, oatmean muffins at 40 cents each, and blueberry muffins at 35 cents each. Charles buys some muffins, including three times as many blueberry muffins as chocolate chip muffins. If he spends $6.50 on 20 ...
Matrices
Nick goes to the amusement park to ride roller coasters, bumper cars, and water slides. The wait for the roller coasters is 1 hour, the wait for the bumper cars is 20 minutes long, and the wait for the water slides is only 15 minutes long. Nick rode 10 total rides during his visit. Because he enjoys roller coasters most, the number of times he rose roller coasters was the sum of the time he rode the other two rides. If Nick waited in line for a total of 6 hours and 20 ...
Matrices
A child's piggy bank contains only nickels, dimes, and quarters.  There are 75 coins in the bank, and the value of the coins is $7.25.  If there are five times as many nickels as ...
Matrices
A bank lent 1.2 million for the development of three new products, with one loan each at 6%,7%, and 8%. The amount lent at 8% was equal to the sum of the amounts lent at the other two rates, and the bank's annual income from the loans was s88,000...
Matrices
a lawn company has 3 kinds of fertilizer.  Mix A contains 40% plant food and 40% weed killer.  Mix B contains 60% plant food and 20% weed killer.  Mix C contains 50% plant food and 24% weed killer.  In mixing 2000 pounds of fertilizer, how many pounds of each mix must be used to have a mixture containing 52...
Matrices
a preschool has a Campbell's chunky beef soup, which contains 2.5 g of fat and 15 mg of cholesterol per cup, and Campbell's Chunky Sirloin burger soup, which contains 7g of fat, and 15 mg of cholesterol per serving. By combining the soups, it is possible to get 10 servings of soup that will have 61 g of fat, and 150 mg of ...
Matrices
you want to have a pizza party this weekend for some friends and family. You have $48 budgeted for the pizza and plan on having 56 pieces available. A large pizza has 16 pieces and cost $14. A medium pizza has 12 pieces and cost $10.00...
Matrices
Miguel\'s coin collection consists of dimes and quarters. If he has 53 coins worth $7.85...
Matrices
Jane sells a dried-fruit mixture for $5.80 per pound anh Hawaiian macadamian nuts for $14.75 per pound. She wants to blend the two to get a 15-Lb mixture that she will sell for $9.38 per ...
Matrices
The sum of three numbers is 26.  Twice the first minus the second is 2 less than the third.  The third is the second minus three times the ...
Matrices
a $4 each. $90 worth of shirts were ...
Matrices
Tasty Bakery sells three kinds of muffins: chocolate chip muffins at .30 cents each, oatmeal muffins at .35 cents each, and cranberry muffins at .40 cents each. Charles buys some of each kind and chooses twice as many cranberry muffins as chocolate chip muffins. If he spends $5.05 on 14 ...
Matrices
Hai-Ling is training for his piolet's license. Flight instruction cosrs $105 per hour, and the simulator costs $45 per hour. The school requires students to spend 4 more hours in airplane training than in the simulator. If Hai_ling can afford $3870 on ...
Matrices
Bethney's animal shelter received a shipment of items worth $1040. NIck's special blend of dog food is $5 a bag. Lisa's handmade collars are $6 each and Cecilia's pull toys are $2 each. There are 4 times as many bags of food as collars. The number of collars and toys totals 100...
Matrices
Two cups of coffee and three pieces of samosa cost $8, while one cup of coffee
and 2 pieces of samosa cost $5. Find the cost of one cup of coffee and a piece of
samosa
Matrices
Miguel's coin collection consists of dimes and quarters. If he has 53 coins worth $7.85...
Matrices
The sum of three numbers is -4. The second number decreased by the third is equal to the first. The sum of the first and second number is -5...
Matrices
A delicatessen delivers a gigantic sandwich to be shared by 12 members of a jury who have been unable to reach a verdict. The sandwich consist of bread, meat, and cheese. The cost of the sandwich is $.60/lb for the bread, $3.00/lb for the meat, and $1.50/lb for the cheese. One pound of bread supplies 10g of protein, one pound of meat supplies 50g of protein, and one pound of cheee supplies 40g of protein. Each member of the jury pays $1.50 for a one-pound portion of the sandwich. Each one-pound portion contains 30g of ...
Matrices
Hai-Ling is training for his piolet\'s license. Flight instruction cosrs $105 per hour, and the simulator costs $45 per hour. The school requires students to spend 4 more hours in airplane training than in the simulator. If Hai_ling can afford $3870 on ...
Matrices
Sonia Ramos is a chemist who is preparing an acid solution to be used as a cleaner for machine parts. The machine shop needs several 200-mL batches of solution at a 48% concentration. Sonia only has 40% and 60% concentration solutions. The two solutions can be combined in some ratio to make the 48% ...

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I teach math to 9th grade -12th grade at a small city school in North Carolina. Knowing that each student in NC has to score levels 3 or 4 on the EOC Algebra 1 test to graduate, any real-life application type problems would be beneficial to the success of my students. Knowing also that matrces are heavily tested on the NC EOC test, this website appears that it would be helpful. Our textbooks do not offer many examples of matrices . Thank you.

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This Tenth Grade math page lists word problems on matrices topic.