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Understanding Ratios, Rates, Proportions, and Percents: Practical Examples and Solutions

Explore the concepts of ratios, rates, proportions, and percents through practical shopping and cooking scenarios. Learn how to find constant proportionality from given equations and graphs. This review covers real-life applications, such as comparing prices of bulk items, calculating the cost of keychains, and determining ingredient quantities for recipes. Answers are provided with step-by-step explanations to enhance understanding. Ideal for students looking to reinforce their math skills in proportional relationships.

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Understanding Ratios, Rates, Proportions, and Percents: Practical Examples and Solutions

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  1. Review for Quiz Ratio, Rates, Proportions and Percents

  2. Find the constant proportionality of this graph.Write the equation. Answer: 4 and y = 4x

  3. You are shopping at Target and a jumbo size bag of fun sized M&M’s costs $5.50 for 39 bags. Jewel has a regular bag of fun sized M&M’s for $2.49 for 20 bags. Which one is a better buy? Answer: Jewel you only pay $0.12/bag Saving of $0.02/bag

  4. 12 key chains cost $4.80. How much will 20 key chains cost? Answer: $8.00

  5. A recipe calls for 3 cups of sugar to make 120 cookies. If you have 5 cups of sugar, how many cookies can you make? Answer: 200 cookies

  6. Sam is traveling 210 km in 5 hours, how many kilometers did she travel in one hour Answer:42 km per hour

  7. Zakir read 552 pages in 8 hours, how many pages did he read in an half a hour? Answer:34.5 pages in 30 minutes

  8. Write the equation to this graph and what is the constant of proportionality? Equation is y=.33x K= .33

  9. Solve for x.x + 5 = 80 4 6 Answer: x = 48.3

  10. Making a holiday dessert you need 16 cups of nuts (x) to 8 cups of fruits (y). What is the equation of constant proportionality for the holiday dessert?If you have 152 cups of fruits, how many cups of nuts do you need? Equations: y= 0.5x 304 cups

  11. Special:Buy 3 cans of Monster for $7.95 each. Find unit rate Answer: $2.65 per can

  12. A recipe requires 3 cups of flour to make 27 dinner rolls. If I need 96 dinner rolls should I use 9 cups of flour?Why or why not? Answer: no that would not be enough flour

  13. Find the next values. What is the constant? Answer: 8 & 24 K=3

  14. Gage has 114 soccer cleats and 96 soccer balls. What is Gage’s ratio of soccer balls to cleats?Express in a fraction in lowest terms. Answer: 16/19

  15. Find the constant for the graph. Answer: k= 30

  16. 2x – 9 = 21 4 3 Answer: x= 18.5

  17. Special:Four boxes of stuffing costs $11.00, and get another box half off. Find the unit rate. Answer: $2.75 per box

  18. If you write 15 pages in 45 minutes. Then you write 18 pages in 55 minutes. Is the number of written pages proportional to your time? Answer: Not proportional 825 not = to 810

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