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# The equation (M + 6)/36 = (p – 7)/21 relates two temperature

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Director
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The equation (M + 6)/36 = (p – 7)/21 relates two temperature [#permalink]

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19 Oct 2006, 09:32
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The equation (M + 6)/36 = (p – 7)/21 relates two temperature scales, where M is the number of degrees on one scale and P is the number of degrees on the other scale. Which of the following equations can be used to convert temperatures from the P scale to the M scale?

(A) M = (12/7)P + 13
(B) M = (12/7)P + 21
(C) M = (12/7)P – 12
(D) M = (12/7)P – 13
(E) M = (12/7)P – 18
[Reveal] Spoiler: OA

Last edited by Bunuel on 10 Oct 2013, 01:09, edited 1 time in total.
Edited the question and added the OA.

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19 Oct 2006, 12:40
(E) if the typo 7/12 is adapted to 12/7.

(M+6)/36=(p-7)/21
<=> M+6 = 36*(p-7)/21
<=> M = 12/7*p - 18

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19 Oct 2006, 13:48
21(M+6)=36(p-7)
21M+21(6)=36p-36(7)
3M+3(6)=36p/7 - 36
3M=36p/7 - 54
M=12p/7 - 18

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Re: The equation (M+6)/36=(p-7)/21 relates two temperature [#permalink]

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09 Oct 2013, 18:19
I am not an expert. But this is what I get

m+6/36 =p-7/21 ----> Do cross multiply

21(m+6) = 36(p-7)
21m +126 = 36p - 252
21m = 36p - 252- 126
21m = 36p - 378
m = 36p - 378/21
m = 36p/21 - 378/21
m = 12p/7 - 18

I don't know if I did the process correctly but I got the right answer anyway.

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Re: The equation (M + 6)/36 = (p – 7)/21 relates two temperature [#permalink]

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10 Oct 2013, 01:15
SimaQ wrote:
The equation (M + 6)/36 = (p – 7)/21 relates two temperature scales, where M is the number of degrees on one scale and P is the number of degrees on the other scale. Which of the following equations can be used to convert temperatures from the P scale to the M scale?

(A) M = (12/7)P + 13
(B) M = (12/7)P + 21
(C) M = (12/7)P – 12
(D) M = (12/7)P – 13
(E) M = (12/7)P – 18

NOTE: EDITED THE OPTIONS.

$$\frac{M + 6}{36} = \frac{p - 7}{21}$$;

$$M+6=\frac{12}{7}(P-7)$$;

$$M+6=\frac{12}{7}P-12$$;

$$M=\frac{12}{7}P-18$$.

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Re: The equation (M + 6)/36 = (p – 7)/21 relates two temperature [#permalink]

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26 Nov 2015, 15:58
HI All,

This question can be solved by TESTing VALUES. With the equation (M + 6)/36 = (p – 7)/21, we should look to make the fractions as 'simple' as possible.

When M = 30, we have...

(36)/36 = (P-7)/21

...so P = 28

Among the 5 answer choices, we're looking for one that gives us an M=30 when we plug in P=28. There's only one answer that matches...

[Reveal] Spoiler:
E

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Re: The equation (M + 6)/36 = (p – 7)/21 relates two temperature [#permalink]

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27 Oct 2017, 23:11
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Re: The equation (M + 6)/36 = (p – 7)/21 relates two temperature   [#permalink] 27 Oct 2017, 23:11
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