Word Problems Involving Rates and Ratios

The ratio is to compare two numbers.
Rate is one type of ratio and is used to measure the variety of one thing or quantity in comparison to other.
Word problems involving comparing rates deal with distances, time, rates, wind or water current, money, and age.
A step-by-step guide to solving rates and ratios word problems
To solve the word problems involving rates and ratios, follow these steps:
Step 1: Find the known ratio and the unknown ratio.
Step 2: Write the proportion.
Step 3: Use cross-multiply and solve.
Step 4: Plug the result into the unknown ratio to check the answers.
Word Problems Involving Rates and Ratios – Examples 1
If 11 apple pies cost $88, what will 8 apple pies cost?
Solution:
Write as a rate. \(\frac{88÷11}{11÷11}=\frac{8}{1}\)
Write a proportion to know the cost of 8 apple pies.
\(\frac{8}{1}=\frac{x}{6}→8×6=1×x→x=48\)
Word Problems Involving Rates and Ratios – Examples 2
If 6 cookbooks cost $120, how much would a dozen cookbooks cost?
Solution:
Write as a rate. \(\frac{120÷6}{6÷6}=\frac{20}{1}\)
Write a proportion to know the cost of 12 cookbooks.
\(\frac{20}{1}=\frac{x}{12}→20×12=1×x→x=240\)
Related to This Article
More math articles
- SAT And ACT Tests Hacks and Tips
- Reversing Derivatives Made Easy: Power Rule of Integration
- Full-Length 7th Grade STAAR Math Practice Test-Answers and Explanations
- How to Solve Real-Life Puzzles: Word Problems on Adding and Subtracting Fractions with Like Denominators
- Algebra Puzzle – Challenge 51
- Building with Blocks: How to Multiply Decimals by 1-digit Whole Numbers
- How to Find the Measures of Central Tendency? (+FREE Worksheet!)
- How to Grasp Orthogonal Vectors
- The Ultimate Regents Algebra 1 Course (+FREE Worksheets)
- How to Solve Word Problems with Four-digit Dividends and Two-digit Divisors
What people say about "Word Problems Involving Rates and Ratios - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.