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Nathan wants to buy a sweatshirt and is trying to determine the better buy. He has a 3030​% coupon for the​ in-store purchase. The store charges ​$3838 for the sweatshirt he wants.​ However, he found the same sweatshirt online for ​$3434 and gets 2525​% 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.

1 Answer

2 votes

Answer:

It is better online, for 1.1 dollars

Step-by-step explanation:

Do you understand all the words used in stating the problem?

Yes.

What are you asked to find or show?

The differnece in price bewtween the store T-shirt and the On-line T-shirt

Can you restate the problem in your own words?

Nathan can purchase a Tshirt by $38 with 30% discount or $34 with 25% discount. Which is the cheapest option?

Is there enough information to enable you to find a solution?

Yes, we have the list price for both T-shirt and the discount on each one.

Devise a plan:

Use a formula

list price less discount = net cost

We will calculate the net cost for the T-shirt

in-store purchase scenario

$38 - 30% coupon = 26.6 dollars

on-line purchase scenario

$34 - 25% off = 25,5‬ dollars

The difference will be:

$26.6 - $25.5 = 1.1 dollar in favor of the online purchase

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