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Three friends ate 14 slices of pizza. If two of the friends
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14 Jun 2018, 14:05
14 Jun 2018, 14:05
Expert Reply
00:00
Question Stats:
92% (01:03) correct
7% (00:47) wrong based on 53 sessions
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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
(A) 3
(B) 4
(C) 5
(D) 6
(E) 7
Re: Three friends ate 14 slices of pizza. If two of the friends
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05 Jul 2018, 01:29
05 Jul 2018, 01:29
Expert Reply
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!
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!
Re: Three friends ate 14 slices of pizza. If two of the friends
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11 Sep 2021, 03:17
11 Sep 2021, 03:17
i have a doubt why arent you adding the two friends who have eaten the same no.of slices as T=P+P+2 why are we taking it as T=P+2
