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Solve real-world problems involving discounts, tax, tips, and percent change
Learn step-by-step with practice exercises built right in.
Example: Find 25% of 80
A shirt costs \25$. It is on sale for 30% off. What is the sale price?
Solution:
Method 1 - Find discount:
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Original price (1 - discount rate)
Example: 20% off \50 $$50 \times (1 - 0.20) = 50 \times 0.80 = \40$$
Price (1 + tax rate)
Example: \30 with 8% tax $$30 \times 1.08 = \32.40$$
Bill tip rate
Example: 15% tip on \40 $$40 \times 0.15 = \6$$
Method 2 - Multiply by remaining percent:
Answer: \17.50$
A population increased from 15,000 to 18,000. What is the percent increase?
Solution:
Use percent change formula:
Answer: 20% increase
A meal costs \45$. You want to leave a 18% tip and there is 7% sales tax. What is the total amount you pay?
Solution:
Step 1: Add tax to the meal
Step 2: Calculate tip (on original meal)
Step 3: Total
Answer: \56.25$