Ratios and Unit Rates
Selected Reading
- Writing an Equation to Represent a Proportional Relationship
- Using a Table of Equivalent Ratios to Find a Missing Quantity in a Ratio
- Finding Missing Values in a Table of Equivalent Ratios
- Function Tables with One-Step Rules
- Solving a One-Step Word Problem Using the Formula d = rt
- Solving a Word Problem on Proportions Using a Unit Rate
- Word Problem on Unit Rates Associated with Ratios of Whole Numbers: Decimal Answers
- Computing Unit Prices to Find the Better Buy
- Using Tables to Compare Ratios
- Finding a Unit Price
- Simplifying a Ratio of Decimals
- Simplifying a Ratio of Whole Numbers: Problem Type 1
- Identifying Statements that Describe a Ratio
- Writing Ratios for Real-World Situations
- Writing Ratios Using Different Notations
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Selected Reading
- Who is Who
- Computer Glossary
- HR Interview Questions
- Effective Resume Writing
- Questions and Answers
- UPSC IAS Exams Notes
Solving a Word Problem on Proportions Using a Unit Rate
Solving a Word Problem on Proportions Using a Unit Rate
Susan earned $135 for 9 hours of work. At the same rate, how many hours would she have to work to earn $180?
Solution
Step 1:
Amount earned in 9 hour = $ 135
Step 2:
Unit rate of earnings = $$frac{135}{9}$ = $15 per hour
Step 3:
Number of hours to make $$180$ = $$frac{180}{unit: rate}$ = $$frac{180}{15} = 12$ hours
At a comic book fair, a vendor sold a set of 9 comics for $76.50. How much it would cost to buy 4 such comics?
Solution
Step 1:
Cost of 9 comics = $76.50
Step 2:
Unit price of a comic book = $$frac{76.50}{9}$ = $8.50
Step 3:
Cost of 4 comics = $4 imes $$$8.50 = $$$34.00$
An ice company charged $7.68 for 8 bags of ice. If a convenience store bought 7 bags of ice, what it would have cost them?
Solution
Step 1:
Cost of 8 bags of ice = $7.68
Step 2:
Unit price of a bag of ice = $$frac{7.68}{8}$ = $0.96
Step 3:
Cost of 7 bags of ice = $7 imes 0.96$ = $$6.72$