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Team X scored p points more than Team Y [#permalink]
Expert's post 00:00

Question Stats: 73% (00:58) correct 26% (01:06) wrong based on 15 sessions
Team X scored p points more than Team Y, and the two teams together scored a total of 10 points.

 Quantity A Quantity B Twice the number of points team Y scored 10 - p

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: Team X scored p points more than Team Y [#permalink]
Can someone explain why the answer is C? Director  Joined: 07 Jan 2018
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Re: Team X scored p points more than Team Y [#permalink]
1
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Explanation

Let us assume team Y scored $$a$$ number of points
From question we get Team x points to be $$a + p$$
Total point would then be $$a + a + p = 2a + p$$
Also, from question we know that $$2a + p = 10$$

Now twice the number of points team Y scored would be $$2a$$

Quantity $$B = 10 - p$$; we have derived $$2a + p =10$$ so replace $$2a + 10$$ in place of 10
we get, $$B = 2a + p - p = 2a$$
Qnty A = Qnty B
option C
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This is my response to the question and may be incorrect. Feel free to rectify any mistakes Manager Joined: 15 Feb 2018
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Re: Team X scored p points more than Team Y [#permalink]
1
KUDOS
X scored p more points than Y: X - Y = P

Two two teams together scored a total of 10 points: X + Y = 10

A: 2Y

B: 10 - p

Solve the two equations above by summing and eliminating Y. We get X = (10 + P) / 2

Substitute away the value of X in either of the two equations to solve for Y: Y = 10 - X --> Y = 10 - ((10 + P)/2)

Multiply by 2 to get 2Y = 10 - P.

So Ans: C.
Manager Joined: 22 Feb 2018
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Re: Team X scored p points more than Team Y [#permalink]
Team X scored p points more than Team Y, and the two teams together scored a total of 10 points.
Twice the number of points team Y scored
10 - p
score_x = p + score_y
score_x + score_y = 10
p + score_y +score_y = p + 2* score_y = 10 so 2 * score_y = 10 - p
so both A and B are equal. and the answer is C.

_________________ Re: Team X scored p points more than Team Y   [#permalink] 19 Mar 2018, 16:17
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