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
- How to Select Procedures for Determining Limits?
- How to Multiply two Binomials Using Algebra Tiles?
- How to Choose the Best Laptop for College?
- Top 10 5th Grade Common Core Math Practice Questions
- How to Find Errors in Number Patterns
- Best Calculator for Calculus 2026
- How to Find Integers Equivalent Quotients
- Zero and One: The Fundamental Pillars of Mathematics
- Top 10 Tips to Create an ATI TEAS 7 Math Study Plan
- Full-Length 6th Grade ACT Aspire Math Practice Test-Answers and Explanations
What people say about "Word Problems Involving Rates and Ratios - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.