Case File: How to Solve Multi-step Problems Involving Percent
Today, we're putting on our thinking caps to crack a case involving one of the most devious culprits in the world of mathematics: multi-step problems involving percent. Grab your magnifying glass and notebook; it's time to solve the mystery!
1. Case Background: Understanding Multi-step Problems Involving Percent
Before we delve into the investigation, let’s brief ourselves on the terms involved:
- Multi-step Problems: These are problems that require more than one operation or step to find the solution.
- Percent: A ratio or fraction expressed out of \(100\).
2. The Investigation: How to Solve Multi-step Problems Involving Percent
Now that we’re armed with the basics, it’s time to dive into the mystery!
Detective’s Guide: Solving Multi-step Problems Involving Percent
Step 1: Understand the Problem
First, read the problem carefully. Identify what you’re asked to find and what information you have.
Step 2: Make a Plan
Develop a strategy to solve the problem. This could involve determining percentages, adding or subtracting amounts, or other operations.
Step 3: Carry Out the Plan
Execute your strategy. Remember, you might have to perform several steps in order to find the solution.
Step 4: Check Your Solution
Finally, review your work to ensure your answer makes sense in the context of the problem.
For example, if you buy a book that costs \($25\) and gets a \(20\)\(\%\) discount, but also has to pay \(5\)\(\%\) sales tax, what’s the final price?
- Understand the Problem: You need to find the final price after applying a discount and tax to a \($25\) book.
- Make a Plan: First, find the discounted price. Then, apply the tax.
- Carry Out the Plan:
- The discount is \(20\)\(\%\) of \($25\), or \($5\). So, the discounted price is \($25\ – $5 = $20\).
- The tax is \(5\)\(\%\) of \($20\), or \($1\). So, the final price is \($20+ $1 = $21\).
- Check Your Solution: A \($25\) book with a \($5\) discount and \($1\) tax should cost \($21\).
Well done, detectives! You’ve solved the mystery of multi-step problems involving percent. Always remember, no case is too tough when you break it down into manageable steps. Keep your wits about you, and happy sleuthing!
Related to This Article
More math articles
- How to Verify Inverse Functions by Composition?
- 3rd Grade MEAP Math FREE Sample Practice Questions
- The Ultimate 6th Grade M-STEP Math Course (+FREE Worksheets)
- Identities of Complex Numbers
- Best Blue Light Glasses for Teachers and Students
- How to Write the Equation of a Cosine Graph?
- SAT Cаlсulаtоr Pоliсу
- 3rd Grade Common Core Math Practice Test Questions
- Math Assessment Test for College
- FREE 6th Grade PARCC Math Practice Test