Ratios and Unit Rates
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- 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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Using a Table of Equivalent Ratios to Find a Missing Quantity in a Ratio
Using a Table of Equivalent Ratios to Find a Missing Quantity in a Ratio
Find the missing quantity in the following table of equivalent ratios.
| Planets | Moons |
| 12 | 18 |
| x | 24 |
Solution
Step 1:
Since the table gives values of equivalent ratios
$frac{x}{24} = frac{12}{18}; x = frac{12}{18} imes 24 = frac{12}{18} imes frac{24}{1} = 16$
Step 2:
So, missing quantity, x = 16
Find the missing quantity in the following table of equivalent ratios.
| Bullocks | Horses |
| 3 | x |
| 18 | 24 |
Solution
Step 1:
Since the table gives values of equivalent ratios
$frac{x}{3} = frac{24}{18}; x = frac{24}{18} imes 3 = frac{24}{18} imes frac{3}{1} = 4$
Step 2:
So, missing quantity, x = 4
Find the missing quantity in the following table of equivalent ratios.
| Buses | Drivers |
| 63 | 28 |
| 9 | x |
Solution
Step 1:
Since the table gives values of equivalent ratios
$frac{x}{9} = frac{28}{63}; x = frac{28}{63} imes 9 = frac{28}{63} imes frac{9}{1} = 4$
Step 2:
So, missing quantity, x = 4