Tax Tip and Discount Word Problems | Download Free PDF | Gratuity ... - Free Printable

Let's solve each of these Tax, Tip, and Discount Word Problems step by step. I'll show the work clearly for each one.

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1) The Sweater Shack is offering a 20% discount on sweaters. If the regular price of a sweater is $15.00, what is the discount? What is the sale price?

Step 1: Find the discount amount
Discount = 20% of $15.00
= 0.20 × 15.00 = $3.00

Step 2: Find the sale price
Sale Price = Regular Price – Discount
= 15.00 – 3.00 = $12.00

✔ Answer:
- Discount: $3.00
- Sale Price: $12.00

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2) After a 15% off sale, some jeans were $11.50. How much were the jeans before the sale?

Let the original price be x.
After a 15% discount, the price is 85% of the original (since 100% - 15% = 85%).

So:
$$
0.85x = 11.50
$$

Solve for x:
$$
x = \frac{11.50}{0.85} ≈ 13.53
$$

✔ Answer: The jeans originally cost $13.53 (rounded to nearest cent).

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3) There are 30 students in Mrs. Jones’ class. Twenty percent of the students received an A on the last math test. How many students received an A?

20% of 30:
$$
0.20 × 30 = 6
$$

✔ Answer: 6 students received an A.

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4) Your parents took your family out to dinner. Your parents wanted to give the waiter a 15% tip. If the total amount of the dinner was $42.00, what should be paid to the waiter as a tip?

Tip = 15% of $42.00
= 0.15 × 42.00 = $6.30

✔ Answer: The tip should be $6.30.

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5) Jean Junction is selling jeans at 15% off the regular price. The regular price is $25.00 per pair. What is the discount amount?

Discount = 15% of $25.00
= 0.15 × 25.00 = $3.75

✔ Answer: The discount amount is $3.75.

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6) Jeans Plus has a sign that says if you buy 3 pairs of jeans, you get $10.00 off the total regular price. The regular price is $25.00 per pair. Would you save more money shopping at Jean Junction in problem #5 or Jeans Plus?

Let’s compare savings when buying 3 pairs.

#### Jean Junction (15% off per pair):
- Regular price per pair: $25.00
- Total regular price for 3 pairs: 3 × 25 = $75.00
- Discount per pair: 15% of $25 = $3.75
- Total discount for 3 pairs: 3 × $3.75 = $11.25
- Final price: $75.00 – $11.25 = $63.75

#### Jeans Plus (Buy 3, get $10 off total):
- Total regular price: $75.00
- Discount: $10.00
- Final price: $75.00 – $10.00 = $65.00

Compare savings:
- Jean Junction: Save $11.25
- Jeans Plus: Save $10.00

✔ Answer: You would save more money at Jean Junction, because $11.25 > $10.00.

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7) A video game store has a 20% sale on all video games. If the game you wanted cost $32.00, what would the discount be?

Discount = 20% of $32.00
= 0.20 × 32.00 = $6.40

✔ Answer: The discount is $6.40.

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✔ Final Answers Summary:

1. Discount: $3.00, Sale Price: $12.00
2. Original price: $13.53
3. Students with A: 6
4. Tip: $6.30
5. Discount amount: $3.75
6. Jean Junction saves more ($11.25 vs $10.00)
7. Discount: $6.40

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