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In a certain pizza restaurant, how much less does a slice of regular

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Bunuel
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In a certain pizza restaurant, how much less does a slice of regular [#permalink] New post  01 Nov 2019, 07:58
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In a certain pizza restaurant, how much less does a slice of regular pizza cost than a slice of anchovy pizza?

(1) Six anchovy pizza slices and six regular pizza slices cost $26 more than four anchovy pizza slices and four regular pizza slices.

(2) Five anchovy pizza slices and three regular pizza slices cost $10 more than three anchovy pizza slices and five regular pizza slices.


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Re: In a certain pizza restaurant, how much less does a slice of regular [#permalink] New post  01 Nov 2019, 08:13
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In a certain pizza restaurant, how much less does a slice of regular pizza cost than a slice of anchovy pizza?

Let the price of a slice of regular pizza be r and that of a slice of anchovy pizza be a.
We have to find Is r<a?

(1) Six anchovy pizza slices and six regular pizza slices cost $26 more than four anchovy pizza slices and four regular pizza slices.
\(6r+6a=4r+4a+26....2r+2a=26....r+a=13....\)
We cannot say anything on the value of r and a..

(2) Five anchovy pizza slices and three regular pizza slices cost $10 more than three anchovy pizza slices and five regular pizza slices.
\(5a+3r=3a+5r+10.........2a-2r=10....a-r=5....a=r+5\), so a>r

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Re: In a certain pizza restaurant, how much less does a slice of regular [#permalink] New post  01 Nov 2019, 11:57
Great C trap question. Bravo

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Re: In a certain pizza restaurant, how much less does a slice of regular [#permalink] New post  02 Nov 2019, 04:51
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Bunuel wrote:
In a certain pizza restaurant, how much less does a slice of regular pizza cost than a slice of anchovy pizza?

(1) Six anchovy pizza slices and six regular pizza slices cost $26 more than four anchovy pizza slices and four regular pizza slices.

(2) Five anchovy pizza slices and three regular pizza slices cost $10 more than three anchovy pizza slices and five regular pizza slices.


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#1
Six anchovy pizza slices and six regular pizza slices cost $26 more than four anchovy pizza slices and four regular pizza slices.

6a+6r=26+4a+4r
a+r=13
a & r are unknow
#2
5a+3r=10+3a+5r
2a-2r=10
a-r=5
a=r+5
how much less does a slice of regular pizza cost than a slice of anchovy pizza
i.e 5
IMO B
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Re: In a certain pizza restaurant, how much less does a slice of regular [#permalink] New post  19 Mar 2023, 20:34
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Re: In a certain pizza restaurant, how much less does a slice of regular [#permalink]
19 Mar 2023, 20:34
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