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4 July, 23:31

Nathan wants to buy a sweatshirt and is trying to determine the better buy. He has a 30 % coupon for the in-store purchase. The store charges $36 for the sweatshirt he wants. However, he found the same sweatshirt online for $32 and gets 25 % off as a first-time buyer. There are no shipping charges. Which is the better buy? By how much? Use the Polya problem solving method to solve this problem.

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  1. 5 July, 00:58
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    Buy in-store.

    Explanation:

    The Polya technique suggests the following steps to solve a problem:

    Step 1: Understand the problem.

    Nathan is facing two options for buying a new sweatshirt. We need to calculate and compare both prices in order to determine the better buy.

    Step 2: Devise a plan.

    To calculate and compare the prices we need to discount the coupons on both options and then buy the sweatshirt with the lower price.

    Step 3: Carry out the plan (solve).

    Option A

    Price: $36

    Discount: - 30%

    Final price option A : 36 * (1 - 30%) = 25.2

    Option B

    Price: $32

    Discount: - 25%

    Final price option B: 32 * (1 - 25%) = 24

    Step 4: Look back (check and interpret).

    Final price option A < Final price option B.

    With this analysis in cosideration, we deduce that the better buy is the option A. In-store purchase.
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