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Mathematics 18 Online
OpenStudy (anonymous):

Liberal Arts Math

OpenStudy (anonymous):

OpenStudy (anonymous):

solve it! @CaseyCarns

OpenStudy (anonymous):

\[\frac{ 100 }{ 38 }\times17100=?\]

OpenStudy (anonymous):

Do I times 17100 by 38?

OpenStudy (michele_laino):

@CaseyCarns please note that 62% is the percentage of reserved seats

OpenStudy (michele_laino):

if I call with N number of total seats of arena, then the subsequant condition has to be checked:

OpenStudy (michele_laino):

\[N-\frac{ 60 }{ 100 }N=17100\]

OpenStudy (anonymous):

I have a problem with the letters whenever they're involved I get confused

OpenStudy (michele_laino):

oops 62/100 not 60/100

OpenStudy (michele_laino):

ok! please how many seats contain an arena, in general?

OpenStudy (michele_laino):

or how many seats are there within an arena, generally?

OpenStudy (anonymous):

17,100

OpenStudy (anonymous):

10602 have already been sold

OpenStudy (michele_laino):

no, it is incorrect, because 17,100 are not total seats. 17,100 are the seats available yet

OpenStudy (anonymous):

oh

OpenStudy (michele_laino):

for example, I suppose than into an arena there are 100,000 seats

OpenStudy (michele_laino):

oops ...that into an arena...

OpenStudy (michele_laino):

and I suppose that, as in your problem, only 62% of those seats are sold, so I can write that seats unavailable are\[100,000*\frac{ 62 }{ 100 }=62,000\] and consequently: \[100,000-62,000=38,000\] are the seats available yet. Do you agree?

OpenStudy (michele_laino):

@CaseyCarns

OpenStudy (anonymous):

38,000 all together?

OpenStudy (michele_laino):

total seats are 100,000

OpenStudy (anonymous):

38,000 available?

OpenStudy (michele_laino):

that's right! Note that we have to calculate total number of seats

OpenStudy (anonymous):

Okay bc thats not an answer choice

OpenStudy (michele_laino):

if we simplify the above condition, I get: \[\frac{ 38 }{ 100 }N=17100\] now multiply both sides by 100

OpenStudy (anonymous):

38N = 1710000

OpenStudy (michele_laino):

left side is: |dw:1419606625969:dw|

OpenStudy (michele_laino):

that's right! Now divide both sides by 38

OpenStudy (anonymous):

N = 45000

OpenStudy (michele_laino):

well done! That's your answer!

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