Bunuel wrote:
The cost of chartering a plane was shared equally among 30 passengers. If there had been 35 passengers sharing that cost, the cost per passenger would have been $30 less. What was the cost of chartering the plane?
A. $5,400
B. $6,125
C. $6,300
D. $6,800
E. $7,350
PS20354
Cost of plane = \(C\)
Cost shared equally among 30 passengers: \(\frac{C}{30}\)
Cost shared equally among 35 passengers: \(\frac{C}{35}\)
\(\frac{C}{35} = \frac{C}{30} -1\)
\(\frac{C}{35} = \frac{C}{30} - \frac{30}{30}\)
\(\frac{C}{35} = \frac{C-30}{30}\)
\(C = 210\)
\(210 * 30 = $6,300\)
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