Question

Charlie is shopping for a jacket that he likes. The jacket, regularly priced at $200, is on sale at Clothes Are Us for $150. Jacket World is offering a 25% discount on the same jacket that regularly sells for $190 at that store. Which statements are correct for this situation?

A) Jacket World's price is $150.00
B) Jacket World has the better deal.
C) Clothes Are Us has the better deal.
D) Both stores are offering a 25% discount on the jacket.
E) The difference in the sale prices at the two stores is $7.50.
List all that are correct

Answer 1

3 Answers:

Choice B) Jacket world has the better deal.

Choice D) Both stores are offering a 25% discount on the jacket.

Choice E) The difference in sale prices at the two stores is $7.50

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Step-by-step explanation:

25% = 0.25

25% of $190 = 0.25*190 = 47.50

190 - 47.50 = 142.5

This indicates the price at Jacket World is $142.5 instead of $150

Therefore, choice A is false.

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Choice B on the other hand is true because $142.50 at Jacket World is a lower price compared to $150 at Clothes Are Us. Jacket World has the better deal.

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Because choice B was shown to be true, there's no way choice C can be true as well. Otherwise, we'd have a contradiction. So we can rule out choice C.

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Let's find the percentage discount for Clothes Are Us.

The original price is $200 and its sale price is $150. So you save 200-150 = 50 dollars.

Divide that over the original price to find the discount: 50/200 = 0.25 = 25%

Therefore, Clothes Are Us has the same discount percentage as Jacket World. Both have a 25% discount. Choice D is true.

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Comparing the two sale prices of $150 (Clothes Are Us) and $142.50 (Jacket World), the difference in price is 150-142.50 = 7.50; this means choice E is a true statement.