Question 1093504
<br>This is a very strangely worded problem.  Did you get it like this from a book, or online, or something like that, or is this your own wording of the problem?  The use of double letters for the variables is very unusual; and I don't see the significance (or meaning) of a statement like "c=4c=4".  Finally, the whole concept is not scientifically valid, since it assumes a temperature of 0 degrees (Fahrenheit, I assume!) has some special physical meaning.<br>
Nevertheless, when we get past the very poor presentation of the problem, there is some useful mathematics to be found.<br>
We have the number of beers sold, b, being directly proportional to the square of the temperature (in Fahrenheit), t, and inversely proportional to the number of events on campus, c.  The equation of proportionality is then<br>
{{{b = (kt^2)/c}}}
where k is a constant to be determined.  Plugging the given numbers (b=1681, t=82, c=4) into the equation, we see that this is a contrived problem, as the constant k turns out to have the value exactly 1.  So now the formula for the number of beers sold is<br>
{{{b = (t^2)/c}}}<br>
Plugging in the new values of t and c, we find the number of beers sold, to the nearest whole number, is<br>
{{{b = (70^2)/6 = 4900/6 = 817}}}