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Three friends ate 14 slices of pizza. If two of the friends

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GMAT Club Legend
GMAT Club Legend
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Joined: 07 Jun 2014
Posts: 4750
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1665 [0], given: 396

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Three friends ate 14 slices of pizza. If two of the friends [#permalink] New post 14 Jun 2018, 14:05
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Question Stats:

100% (00:12) correct 0% (00:00) wrong based on 4 sessions
Three friends ate 14 slices of pizza. If two of the friends ate the same number of slices, and the third ate two more slices than each of the other two, how many slices were eaten by the third friend?

(A) 3
(B) 4
(C) 5
(D) 6
(E) 7
[Reveal] Spoiler: OA

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Sandy
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GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4750
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1665 [0], given: 396

CAT Tests
Re: Three friends ate 14 slices of pizza. If two of the friends [#permalink] New post 05 Jul 2018, 01:29
Expert's post
Explanation

Let P = the number of slices of pizza eaten by each of the two friends who eat the same amount.

Let T = the number of slices of pizza eaten by the third friend.

\(T = P + 2\)

\(P + P + T = 14\)

Substitute (P + 2) for T in the second equation:

\(P + P + (P + 2) = 14\)

\(3P + 2 = 14\)

\(3P = 12\)

\(P = 4\)

Solve for T:

\(T = P + 2 = 4 + 2 = 6\)

Hence option D is correct!
_________________

Sandy
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Re: Three friends ate 14 slices of pizza. If two of the friends   [#permalink] 05 Jul 2018, 01:29
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Three friends ate 14 slices of pizza. If two of the friends

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