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Director
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The equation (M+6)/36=(p-7)/21 relates two temperature [#permalink]
 19 Oct 2006, 10:32
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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=(7/12)P+13
B) M=(7/12)P+21
C) M=(7/12)P-12
D) M=(7/12)P-13
E) M=(7/12)P-18
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Manager
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I don't find any option to be correct 
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Me neither. B is the closest of the options.
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Manager
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Neither do I....plugging numbers into the equations doesn't allow any of them to match up
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Director
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I could not find the value either....
Maybe somebody can explain? There may be a mistake....
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(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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Director
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Fig wrote: (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 There is something with my algebra.... i cannot get -18....
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SimaQ wrote: Fig wrote: (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 There is something with my algebra.... i cannot get -18.... Write it here ... Perhaps we could see something in
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Director
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m+6=36*(p-7)/21... simplify 21 and 36 to 7 and 12 respectively
m+6=12*(p-7)/7
m+6=(12p-84)/7
m=((12p-84)/7)-6..... from here you can see that there is no way to get -18... getting stupid?
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Fig wrote: (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 Thanks Fig. That makes it work.
So from (M+6)/36=(p-7)/21 I picked numbers
M=66 AND P=49
Then M = 12/7*p - 18
66=(12/7)p-18
66=84-18
66=66 check this works 
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SimaQ wrote: m+6=36*(p-7)/21... simplify 21 and 36 to 7 and 12 respectively m+6=12*(p-7)/7m+6=(12p-84)/7 m=((12p-84)/7)-6..... from here you can see that there is no way to get -18... getting stupid? From this line, u should perhaps distribute first the 1/7....
m+6=12*(p-7)/7
<=> m+6=12*(p-7)*1/7
<=> m+6=12*(p*1/7-7*1/7)
<=> m+6 = 12*p/7 - 12
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Director
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Fig wrote: SimaQ wrote: m+6=36*(p-7)/21... simplify 21 and 36 to 7 and 12 respectively m+6=12*(p-7)/7m+6=(12p-84)/7 m=((12p-84)/7)-6..... from here you can see that there is no way to get -18... getting stupid? From this line, u should perhaps distribute first the 1/7.... m+6=12*(p-7)/7 <=> m+6=12*(p-7)*1/7 <=> m+6=12*(p*1/7-7*1/7) <=> m+6 = 12*p/7 - 12 However it is interesting, that it does not work my way...
Actually i took the right approach, but could not get this answer and that is why i made a mistake....
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SimaQ wrote: Fig wrote: SimaQ wrote: m+6=36*(p-7)/21... simplify 21 and 36 to 7 and 12 respectively m+6=12*(p-7)/7m+6=(12p-84)/7 m=((12p-84)/7)-6..... from here you can see that there is no way to get -18... getting stupid? From this line, u should perhaps distribute first the 1/7.... m+6=12*(p-7)/7 <=> m+6=12*(p-7)*1/7 <=> m+6=12*(p*1/7-7*1/7) <=> m+6 = 12*p/7 - 12 However it is interesting, that it does not work my way... Actually i took the right approach, but could not get this answer and that is why i made a mistake.... Your way works... I would like to say that u make it a little harder  because, first u make 12*7 to get 84 and then to simplify, u need to express 84 = 7*12
m=((12p-84)/7)-6
<=> m = ((12*p-7*12)*1/7)-6
<=> m = (12*1/7*p-12*7*1/7)-6
<=> m = 12/7*p - 12 -6
<=> m = 12/7*p - 18
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Matrix02 wrote: Fig wrote: (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 Thanks Fig. That makes it work. So from (M+6)/36=(p-7)/21 I picked numbers M=66 AND P=49 Then M = 12/7*p - 18 66=(12/7)p-18 66=84-18 66=66 check this works Whoa - The algebra way is tough! Picking numbers worked best for me (although sometime it can be time consuming). Then you don't have to work off the 1st equation and just plug in values for p in the answer choices.
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Matrix02 wrote: Matrix02 wrote: Fig wrote: (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 Thanks Fig. That makes it work. So from (M+6)/36=(p-7)/21 I picked numbers M=66 AND P=49 Then M = 12/7*p - 18 66=(12/7)p-18 66=84-18 66=66 check this works Whoa - The algebra way is tough! Picking numbers worked best for me (although sometime it can be time consuming). Then you don't have to work off the 1st equation and just plug in values for p in the answer choices. The most important is that u feel fine with one or your way and that is fast enough
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Senior Manager
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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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Manager
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definitely a typo, inform the author of the problem so that he can fix it :D
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CEO
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londonluddite wrote: 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
wow. i hate these MAJOR typos in this PS1000 packet...thanks for clearing it up
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close
