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
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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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