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Three people sit down to eat 14 pieces of cake. If two of the people e
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05 Jan 2022, 06:07
05 Jan 2022, 06:07
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Three people sit down to eat 14 pieces of cake. If two of the people eat the same number of pieces, and the third person eats two more pieces than each of the other two, how many pieces are eaten by the third person?
(A) 3
(B) 4
(C) 5
(D) 6
(E) 7
(A) 3
(B) 4
(C) 5
(D) 6
(E) 7
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Re: Three people sit down to eat 14 pieces of cake. If two of the people e
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05 Jan 2022, 06:11
05 Jan 2022, 06:11
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Carcass wrote:
Three people sit down to eat 14 pieces of cake. If two of the people eat the same number of pieces, and the third person eats two more pieces than each of the other two, how many pieces are eaten by the third person?
(A) 3
(B) 4
(C) 5
(D) 6
(E) 7
(A) 3
(B) 4
(C) 5
(D) 6
(E) 7
Let x = the number of pieces of cake the first person ate
So, x = the number of pieces of cake the second person ate
And x + 2 = the number of pieces of cake the third person ate
Since they ate a total of 14 pieces of cake, we can write: x + x + (x + 2) = 14
Simplify: 3x + 2 = 14
So 3x = 12
And x = 4
So the first person and second person each ate 4 pieces of cake, and the third person ate 6 pieces of cake.
Answer: D
gmatclubot
Re: Three people sit down to eat 14 pieces of cake. If two of the people e [#permalink]
05 Jan 2022, 06:11
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