Sure! Let’s solve each problem step by step and explain the reasoning.
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Problem 1: Soda Case
> A $12 case of soda is labeled, “Get a 20% discount.”
What is the discount?
To find the discount amount:
> Discount = Original Price × Discount Percentage
> Discount = $12 × 20% = $12 × 0.20 =
$2.40
✔ Discount = $2.40
What is the sale price?
> Sale Price = Original Price – Discount
> Sale Price = $12 – $2.40 =
$9.60
✔ Sale Price = $9.60
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Problem 2: Cheese Pizza
> Get ⅓ off a $9.00 cheese pizza.
What is the discount?
> Discount = Original Price × Fraction Off
> Discount = $9.00 × ⅓ =
$3.00
✔ Discount = $3.00
What is the sale price?
> Sale Price = Original Price – Discount
> Sale Price = $9.00 – $3.00 =
$6.00
✔ Sale Price = $6.00
*(Note: ⅓ off means you pay ⅔ of the original price: $9 × ⅔ = $6 — same result.)*
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Problem 3: Bicycle
> A $500 bicycle is marked, “Get a 30% discount.”
What is the discount?
> Discount = $500 × 30% = $500 × 0.30 =
$150.00
✔ Discount = $150.00
What is the sale price?
> Sale Price = $500 – $150 =
$350.00
✔ Sale Price = $350.00
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Problem 4: iPod
> A $75.40 iPod is labelled, “Save 15%.”
> What is the sale price?
We are asked only for the
sale price, not the discount (though we can calculate it if needed).
There are two ways:
Method 1: Subtract discount from original
> Discount = $75.40 × 15% = $75.40 × 0.15 =
$11.31
> Sale Price = $75.40 – $11.31 =
$64.09
Method 2: Pay 85% of original (since you save 15%)
> Sale Price = $75.40 × (1 – 0.15) = $75.40 × 0.85 =
$64.09
✔ Sale Price = $64.09
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✔ Final Answers:
1. Soda Case
- Discount:
$2.40
- Sale Price:
$9.60
2. Cheese Pizza
- Discount:
$3.00
- Sale Price:
$6.00
3. Bicycle
- Discount:
$150.00
- Sale Price:
$350.00
4. iPod
- Sale Price:
$64.09
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Let me know if you’d like to see these explained with diagrams or real-life examples!
Parent Tip: Review the logic above to help your child master the concept of percent discount worksheet.
