Solving Multi-Step Percent Problems
Grade 7 Mathematics Step-by-step strategies for success in multi-step percent problems for Grade 7
What Are Percentages?
Percent means 'out of 100' The % symbol shows percentages 50% = 50 out of 100 = half 25% = 25 out of 100 = one quarter
Converting Percentages to Decimals
Move the decimal point 2 places left 25% = 0.25 50% = 0.50 or 0.5 10% = 0.10 or 0.1
Practice: Basic Percentage Calculations
Find 20% of 80 Find 15% of 60 Find 25% of 200 Work with a partner and show your steps
Real-World Percent Problems
Shopping discounts and sales Restaurant tips Sales tax on purchases Price markups in stores
Step 1: Understanding the Problem
Read the problem carefully Identify what you need to find Look for key words like 'discount', 'tip', 'tax' Write down the given information
Multi-Step Problem Example
{"left":"A shirt costs $40\nThere's a 25% discount\nSales tax is 8%\nWhat's the final price?","right":"Step 1: Calculate discount\nStep 2: Find sale price\nStep 3: Calculate tax\nStep 4: Find final total"}
Your Turn: Restaurant Bill
Your family's dinner bill is $65 You want to leave an 18% tip The sales tax is 7% Calculate the total amount you'll pay
Key Strategies for Success
Always read the problem twice Convert percentages to decimals Work step by step Check your answer - does it make sense? Practice with real-world examples
Finding Markups: Step-by-Step
Markup = amount added to original price Formula: New Price = Original Price + Markup Example: Toy costs $10, store adds 50% markup Step 1: Find markup amount: $10 × 0.50 = $5 Step 2: Add to original: $10 + $5 = $15 The toy now sells for $15