Bunuel wrote:
The total expenses of organizing a party has a fixed expense of $250 as the rent of the place where the party is to be organized and a variable expense depending on the number of guests attending the party. For 10 guests the total expense was estimated to be $650. What is the estimated total expense for 20 guests?
(A) $800
(B) $900
(C) $1050
(D) $1250
(E) $1300
Total fixed expense \(= $250\)
Let variable expense depending on the number of guests attending the party be \(= x\)
For \(10\) guests the total expense was estimated = Fixed expense + variable expense of \(10\) guests \(= 250 + x\)
For \(10\) guests the total expense was estimated to be \(= $650\)
\(250 + x = 650\)
\(x = 650 - 250 = 400\)
For \(10\) guests variable expense is \($400\). Therefore for \(20\) guests variable expense will be twice \(= $800\)
Estimated total expense for \(20\) guests \(= 250 + 800 = $1050\)
Answer (C)...