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Madelyn has $400 to spend on her new school clothes and this is to cov

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Madelyn has $400 to spend on her new school clothes and this is to cov [#permalink]

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New post 25 Dec 2017, 00:50
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  35% (medium)

Question Stats:

75% (00:34) correct 25% (00:23) wrong based on 16 sessions

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Madelyn has $400 to spend on her new school clothes and this is to cover the price of the clothes she buys and the sales tax on those items. Does Madelyn have less than 50 dollars left after completing her shopping?

(1) The total price of Madelyn's clothes was less than $400.
(2) Madelyn incurs no sales tax when purchasing school clothes.
[Reveal] Spoiler: OA

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Re: Madelyn has $400 to spend on her new school clothes and this is to cov [#permalink]

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New post 25 Dec 2017, 01:44
Bunuel wrote:
Madelyn has $400 to spend on her new school clothes and this is to cover the price of the clothes she buys and the sales tax on those items. Does Madelyn have less than 50 dollars left after completing her shopping?

(1) The total price of Madelyn's clothes was less than $400.
(2) Madelyn incurs no sales tax when purchasing school clothes.


Calculating the total amount of money requires two numbers - the cost before tax and the percent tax.
So we'll see if our data gives us these numbers. This is a Logical approach.

(1) gives us only the cost before tax. Insufficient.
(2) gives us only the percent tax. Insufficient.

Combined, we have both items and can find a solution. (400 + 0% = 400)
But - because (1) says 'less than 400' and not 'exactly 400' we still don't know if Madelyn had $50 left over!
(Did she pay more or less than $350?)
(E) is our answer.
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Re: Madelyn has $400 to spend on her new school clothes and this is to cov [#permalink]

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New post 25 Dec 2017, 18:32
Bunuel wrote:
Madelyn has $400 to spend on her new school clothes and this is to cover the price of the clothes she buys and the sales tax on those items. Does Madelyn have less than 50 dollars left after completing her shopping?

(1) The total price of Madelyn's clothes was less than $400.
(2) Madelyn incurs no sales tax when purchasing school clothes.


Question: \(Clothes+Tax>350?\) If it is, then Mad has less than 50 dollars left, if it isn't then she has more than or equal to 50 dollars left.

(1) The total price of Madelyn's clothes was less than $400. So her clothes could cost between $0 to 400, and we don't know the sales tax; insufficient.

(2) Madelyn incurs no sales tax when purchasing school clothes. So sales tax is zero, but we don't know how much were her clothes; insufficient.

(1)+(2). So sales tax is zero, but her clothes could cost more than 350 or less than..; insufficient.

(E) is the answer.
Re: Madelyn has $400 to spend on her new school clothes and this is to cov   [#permalink] 25 Dec 2017, 18:32
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Madelyn has $400 to spend on her new school clothes and this is to cov

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