Sam wants to buy a dress up as a birthday present for his niece. The regular price of the dress is $45 and he can use either 25% off regular price coupon or 10% off any purchase or $30 or more coupon by the discount amount of the better incentive. Round the answer to two decimal places

3 answers

To determine the best discount for Sam, let's calculate the final price of the dress using both coupons and see which gives him the better deal.

Option 1: 25% Off Coupon

  • Regular price of the dress: $45
  • Discount amount: 25% of $45 \[ 0.25 \times 45 = 11.25 \]
  • Price after discount: \[ 45 - 11.25 = 33.75 \]

Option 2: 10% Off Any Purchase of $30 or More Coupon

  • This coupon is applicable since the price after the 25% discount is $33.75.
  • Discount amount: 10% of $45 \[ 0.10 \times 45 = 4.50 \]
  • Price after the 10% discount: \[ 45 - 4.50 = 40.50 \]

Now, let's compare the final prices after applying each discount:

  • Final price with the 25% off coupon: $33.75
  • Final price with the 10% off coupon: $40.50

The better incentive is the 25% off coupon, which results in a price of $33.75.

Wrong

Apologies for the error. Let's reevaluate the calculations for both discounts step-by-step to identify the correct final prices.

Regular Price of the Dress: $45

Option 1: 25% Off Regular Price Coupon

  • Calculate the discount amount: \[ 0.25 \times 45 = 11.25 \]
  • Price after applying the discount: \[ 45 - 11.25 = 33.75 \]

Option 2: 10% Off Any Purchase of $30 or More

  • The dress qualifies for this coupon.
  • Calculate the discount amount: \[ 0.10 \times 45 = 4.50 \]
  • Price after applying the discount: \[ 45 - 4.50 = 40.50 \]

Comparing Final Prices

  • Price with 25% off: $33.75
  • Price with 10% off: $40.50

The best discount Sam can use is the 25% off coupon, resulting in a final price of $33.75.

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