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

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

by Gmat_mission » Sun May 05, 2019 10:49 am

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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

[spoiler]OA=E[/spoiler]

Source: GMAT Paper Tests
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by Jay@ManhattanReview » Mon May 06, 2019 12:15 am
Gmat_mission 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

[spoiler]OA=E[/spoiler]

Source: GMAT Paper Tests
We are given (M + 6)/36 = (P - 7)/21

Multiplying each side by 3, we have 3*[(M + 6)/36 = (P - 7)/21] => (M + 6)/12 = (P - 7)/7 => 7M + 42 = 12P - 84 => 7M = 12P - 84 - 42 => 7M = 12P - 126 => M = (12/7)P - 126/7 => M = (12/7)P + 18

The correct answer: E

Hope this helps!

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by GMATGuruNY » Mon May 06, 2019 3:30 am
Gmat_mission 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
[/spoiler]

Source: GMAT Paper Tests
If M=30 and P=28, both sides of (M + 6)/36 = (P - 7)/21 are equal to 1.
The correct answer must yield a valid equation for M=30 and P=28.
When the question stem includes the phrase "which of the following," the correct answer is likely to be D or E.

E: M = (12/7)P - 18
If M=30 and P=28, we get:
30 = (12/7)(28) - 18
30 = 48-18
30=30
Success!

The correct answer is E.
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by Scott@TargetTestPrep » Thu May 09, 2019 5:10 pm
Gmat_mission 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

[spoiler]OA=E[/spoiler]

Source: GMAT Paper Tests

We need to isolate M:

(M + 6)/36 = (P - 7)/21

21(M + 6) = 36(P - 7)

7(M + 6) = 12(P - 7)

7M + 42 = 12P - 84

7M = 12P - 126

M = (12/7)P - 18

Answer: E

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