- Ratios and Unit Rates
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- Writing Ratios Using Different Notations
- Writing Ratios for Real-World Situations
- Identifying Statements that Describe a Ratio
- Simplifying a Ratio of Whole Numbers: Problem Type 1
- Simplifying a Ratio of Decimals
- Finding a Unit Price
- Using Tables to Compare Ratios
- Computing Unit Prices to Find the Better Buy
- Word Problem on Unit Rates Associated with Ratios of Whole Numbers: Decimal Answers
- Solving a Word Problem on Proportions Using a Unit Rate
- Solving a One-Step Word Problem Using the Formula d = rt
- Function Tables with One-Step Rules
- Finding Missing Values in a Table of Equivalent Ratios
- Using a Table of Equivalent Ratios to Find a Missing Quantity in a Ratio
- Writing an Equation to Represent a Proportional Relationship

- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who

# 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 \times $$$8.50 = $$$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 = $7 \times 0.96$ = $$6.72$