Concept explainers
Allie, Benton, and Cathy are planning to mix red and yellow paint. They are considering which of the two following paint mixtures will make a more yellow paint:
• a mixture of 3 cups red and 5 cups yellow
• a mixture of 4 cups red and 6 cups yellow
Allie says that both paints will look the same because to make the second mixture you just add 1 cup of each color to the first mixture. Benton says that the second mixture should be more yellow than the first because it uses more yellow than the first mixture. Cathy says that both paints should look the same because each uses 2 cups more yellow than red.
a. Discuss the students’ ideas. Is their reasoning valid or not?
b. Which paint will be more yellow, and why? Use a ratio table to solve this problem in two different ways, explaining in detail why you can solve the problem the way you do.
Learn your wayIncludes step-by-step video
Chapter 7 Solutions
Mathematics for Elementary Teachers with Activities (5th Edition)
Additional Math Textbook Solutions
Excursions in Modern Mathematics (9th Edition)
Thinking Mathematically (6th Edition)
Finite Mathematics & Its Applications (12th Edition)
Mathematics All Around (6th Edition)
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
Mathematical Ideas (13th Edition) - Standalone book
- Last year, at Haven's Pond Car Dealership, for a particular model of BMW, Jeep, and Toyota, one could purchase all three cars for a total of $140,000. This year, due to inflation, the same cars would cost $151,830. The cost of the BMW increased by 8%, the Jeep by 5%, and the Toyota by 12%. If the price of last year's Jeep was $7,000 less than the price of last year's BMW, what was the price of each of the three cars last year?arrow_forwardA commuter must travel from Ajax to Barrie and back every day. Four roads join the two cities. The commuter likes to vary the trip as much as posible, so she alwaysleaves and returns by different roads. In how many different ways can she make the round-trip?arrow_forward
- Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage LearningAlgebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
- College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningAlgebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal LittellAlgebra for College StudentsAlgebraISBN:9781285195780Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage Learning