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

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Math Expert
Joined: 02 Sep 2009
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In a certain pizza restaurant, how much less does a slice of regular  [#permalink]

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01 Nov 2019, 07:58
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45% (medium)

Question Stats:

63% (01:56) correct 38% (01:27) wrong based on 64 sessions

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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]

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01 Nov 2019, 08:13
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

B
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Re: In a certain pizza restaurant, how much less does a slice of regular  [#permalink]

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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]

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02 Nov 2019, 04:51
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
Re: In a certain pizza restaurant, how much less does a slice of regular   [#permalink] 02 Nov 2019, 04:51
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