swerve wrote:On a Saturday night, each of the rooms at a certain motel was rented for either $40 or $60. If 10 of the rooms that were rented for $60 had instead been rented for $40, then the total rent the motel charged for that night would have been reduced by 25 percent. What was the total rent the motel actually charged for that night?
A. $600
B. $800
C. $1,000
D. $1,600
E. $2,400
If 10 rooms are rented for $40 instead of $60 -- a decrease of $20 per room -- the total decrease = 10*20 =
$200.
Since the value in blue constitutes a 25% reduction in the total rent, it must be equal to 1/4 of the total rent:
200 = (1/4)R
800 = R.
The correct answer is
B.
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