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

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Retired Moderator
Joined: 07 Jun 2014
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GRE 1: Q167 V156
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Three friends ate 14 slices of pizza. If two of the friends [#permalink]  14 Jun 2018, 14:05
Expert's post
00:00

Question Stats:

100% (01:08) correct 0% (00:00) wrong based on 20 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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Retired Moderator
Joined: 07 Jun 2014
Posts: 4803
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 171

Kudos [?]: 2921 [0], given: 394

Re: Three friends ate 14 slices of pizza. If two of the friends [#permalink]  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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