Math Problem Statement

Emily buys a new coffee maker that costs $110. She uses a 30% off coupon and then applies for a $10 mail-in rebate. What is the final price she pays after using the coupon and receiving the rebate?

Solution

Let's break down the problem step by step:

  1. Initial price of the coffee maker: $110

  2. Coupon discount: 30% off

    To calculate the price after applying the 30% off coupon: Discounted price=110×(10.30)=110×0.70=77\text{Discounted price} = 110 \times (1 - 0.30) = 110 \times 0.70 = 77 So, the price after the coupon is $77.

  3. Mail-in rebate: $10

    After applying the rebate, we subtract $10 from the discounted price: Final price=7710=67\text{Final price} = 77 - 10 = 67

Thus, the final price Emily pays is $67.

Answer: A. $67


Do you need further details or have any other questions?

Related Questions:

  1. How would the final price change if the coupon was 20% instead of 30%?
  2. What if Emily received a 25% discount and the rebate was only $5?
  3. How would the final price change if the original price was $120?
  4. What is the total percentage discount Emily received after applying both the coupon and the rebate?
  5. How can Emily calculate the price if she also has to pay 8% sales tax before the rebate?

Tip:

When applying a percentage discount, multiply the original price by the percentage left after the discount. For example, with a 30% discount, multiply the original price by 0.70 (100% - 30%).

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Math Problem Analysis

Mathematical Concepts

Percentage discounts
Rebates
Basic arithmetic

Formulas

Discounted price = Original price × (1 - Discount percentage)
Final price = Discounted price - Rebate

Theorems

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Suitable Grade Level

Grades 6-8