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 50 percent. What was the total rent the motel actually charged for that night ? Choices
A) $400	B) $800	C) $1,000	D) $1,600	E) $2,400
Let total rent the motel charge for all rooms =x   If 10 rooms that were rented for 60 $ had instead been rented for 40 $,   then total difference in prices = 20 $ * 10 = 200 $   Total rent the motel charged would have been reduced by 50 %   .5x = 200   =&gt; x= 400   $400nswer $400
<result>A</result>
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 50 percent. What was the total rent the motel actually charged for that night ?