In Exercises 33-41, use the four-step strategy to solve each problem. Use x, y, and z to represent unknown quantities. Then translate from the verbal conditions of the problem to a system of three equations in three variables.
A certain brand of razor blades comes in packages of 6,12, and 24 blades, costing $2,$3. and $4 per package, respectively. A store sold 12 packages containing a total of 162 razorblades and took in $35. How many packages of each type were sold?
Want to see the full answer?
Check out a sample textbook solutionChapter 7 Solutions
Precalculus (6th Edition)
Additional Math Textbook Solutions
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
Precalculus (10th Edition)
Calculus: Early Transcendentals (2nd Edition)
Precalculus: Mathematics for Calculus (Standalone Book)
Calculus and Its Applications (11th Edition)
- Translate to a system of equations and solve: A science center sold 1,363 tickets on a busy weekend. The receipts totaled $12,146. How many $12 adult tickets and how many $7 child tickets were sold?arrow_forwardIs the following ordered pair a solution to the system of equations? 5xy=12 x+4y=9with(3,3)arrow_forwardTranslate to a system of equations and solve: Jill’s Sandwich Shoppe owes $65,200 on two business loans, one at 4.5% interest and the other at 7.2% interest. The total amount of interest owed last year was $3,582. What was the principal for each loan?arrow_forward
- Translate to a system of equations and then solve: Mark went to the gym and did 40 minutes of Bikram hot yoga and 10 minutes of jumping jacks. He burned 510 calories. The next time he went to the gym, he did 30 minutes of Bikram hot yoga and 20 minutes of jumping jacks burning 470 calories. How many calories were burned for each minute of yoga? How many calories were burned for each minute of jumping jacks?arrow_forwardTranslate to a system of equations and then solve: Erin spent 30 minutes on the rowing machine and 20 minutes lifting weights at the gym and burned 430 calories. During her next visit to the gym she spent 50 minutes on the rowing machine and 10 minutes lifting weights and burned 600 calories. How many calories did she burn for each minutes on the rowing machine? How many calories did she burn for each minute of weight lifting?arrow_forwardSolve the system of equations by elimination and explain all your steps in words: {5x+4y=102x=3y+27 .arrow_forward
- Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal LittellElementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice University
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillCalculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,Algebra for College StudentsAlgebraISBN:9781285195780Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage Learning