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Discount Calculation and Sale Prices Problem Solving

Learn how to calculate sale prices with discounts on various items like golf balls, hats, party supplies, shoes, cell phones, and shirts. Practice finding original prices using discount percentages. Improve your math skills through real-world examples.

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Discount Calculation and Sale Prices Problem Solving

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  1. Lesson Menu Main Idea and New Vocabulary Example 1: Real-World Example Example 2: Find the Sale Price Example 3: Find the Original Price

  2. Solve problems involving discount. • discount Main Idea/Vocabulary

  3. GOLF A set of golf balls sells for $20. This week it is on sale for 30% off. What is the sale price of the set? Method 1Subtract the discount from the regular price. First, find the amount of the discount. 30% of $20 = 0.30  $20 Write 30% as a decimal. = $6.00 The discount is $6.00. Next, subtract the discount from the regular price. $20.00 – $6.00 = $14.00 Example 1

  4. Method 2Subtract the percent of discount from 100%. 100% – 30% = 70% Subtract the discount from 100%. The total cost is 70% of the regular price. 70% of $20 = 0.70  $20 Write 70% as a decimal. = $14.00 Multiply. Answer: So, the sale price of the set of golf balls is $14.00. Example 1

  5. HATS A baseball cap sells for $22. This week it is on sale for 40% off. What is the sale price of the cap? A. $18.00 B. $13.20 C. $8.80 D. $4.00 Example 1 CYP

  6. Find the Sale Price PARTY SUPPLIES Sandra is buying decorations for a party. She wants to buy a set of balloons. The original cost of the balloons is $39, but the store is offering a 25% discount. What is the sale price of the balloons including 5.75% tax? Step 1 Find the amount of the discount. 25% of $39 = 0.25 ● $39 Write 25% as a decimal. = $9.75 The discount is $9.75. Step 2 Subtract the discount from the regular price. $39 – $9.75 = $29.25 Example 2

  7. Find the Sale Price Step 3 The percent of tax is applied after the discount is taken. 5.75% of $29.25 = 0.0575 ● 29.25 Write 5.75% as a decimal. = 1.68 The tax is $1.68. Add the tax to the sale price of the balloons. $29.25 + $1.68 = $30.93. Answer: The sale price of the balloons including tax is $30.93. Example 2

  8. SHOES Jesse is buying a pair of running shoes. The original cost of the shoes is $75, but the store is offering a 35% discount. What is the sale price of the tennis shoes including the 6% sales tax? A. $70.50 B. $51.68 C. $48.75 D. $21.00 Example 2 CYP

  9. Find the Original Price CELL PHONE Rosa buys a cell phone that is on sale for 60% off. If the sale price is $79.98, what is the original price? The sale price is 100% – 60% or 40% of the original price. Example 3

  10. Divide each side by 0.4. Find the Original Price $79.98 = 0.4p Write the equation. $199.95 = p Answer: The original price is $199.95. Example 3

  11. SHIRTS Malena buys a shirt that is on sale for 50% off. If the sale price is $21.99, what is the original price? A. $71.99 B. $43.98 C. $32.99 D. $26.99 Example 3 CYP

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