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# If q is equal to one-half of the sum 6, 7, 5, and q, then q =

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Math Expert
Joined: 02 Sep 2009
Posts: 51185
If q is equal to one-half of the sum 6, 7, 5, and q, then q =  [#permalink]

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14 Mar 2018, 23:25
1
00:00

Difficulty:

15% (low)

Question Stats:

83% (00:43) correct 17% (00:27) wrong based on 70 sessions

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If q is equal to one-half of the sum 6, 7, 5, and q, then q =

A. 9

B. 12

C. 18

D. 27

E. 36

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Joined: 10 Apr 2017
Posts: 38
Schools: Kelley '20
Re: If q is equal to one-half of the sum 6, 7, 5, and q, then q =  [#permalink]

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14 Mar 2018, 23:52
Here,
(6+7+5+q)1/2=q
So,
(18+q)1/2=q
Now, we can put value of q from options
suppose, q=18
then,
(18+18)1/2=q
36/2=q
18=q
-----
therefore, q=18
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If q is equal to one-half of the sum 6, 7, 5, and q, then q =  [#permalink]

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15 Mar 2018, 09:08
Bunuel wrote:
If q is equal to one-half of the sum 6, 7, 5, and q, then q =

A. 9

B. 12

C. 18

D. 27

E. 36

One the equation is set up, checking options is accurate and probably fast. You can also solve.

q is equal to one-half of the sum 6, 7, 5, and q:

$$(6+7+5+q) * (\frac{1}{2})=q$$
$$18 + q = 2q$$
$$q = 18$$

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Re: If q is equal to one-half of the sum 6, 7, 5, and q, then q =  [#permalink]

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15 Mar 2018, 19:26
q= $$\frac{1}{2}$$*(6 + 7 + 5 + q)

Solving q= 18

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Re: If q is equal to one-half of the sum 6, 7, 5, and q, then q =  [#permalink]

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16 Mar 2018, 22:01
Bunuel wrote:
If q is equal to one-half of the sum 6, 7, 5, and q, then q =

A. 9

B. 12

C. 18

D. 27

E. 36

Given : q = (6 + 7 + 5 + q)/2

2q = 18 + q

q = 18

(C)
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Re: If q is equal to one-half of the sum 6, 7, 5, and q, then q =  [#permalink]

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19 Mar 2018, 05:39
Bunuel wrote:
If q is equal to one-half of the sum 6, 7, 5, and q, then q =

A. 9

B. 12

C. 18

D. 27

E. 36

q = (1/2)(6 + 7 + 5 + q)

q = 9 + q/2

Multiplying by 2 we have:

2q = 18 + q

q = 18

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Intern
Joined: 28 Nov 2017
Posts: 2
Re: If q is equal to one-half of the sum 6, 7, 5, and q, then q =  [#permalink]

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25 Mar 2018, 00:54
If q is one-half of 6,7,5 and q, then 6+7+5 should be equal to q.
-> 6+7+5 = 18
-> Ans: (c)
Re: If q is equal to one-half of the sum 6, 7, 5, and q, then q = &nbs [#permalink] 25 Mar 2018, 00:54
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