document.write( "Question 1077767: Your planning a trip to New York and are looking to book a room at the Hilton Times Square. Option A totals $599.98 and option B totals $2,399.94. Option A's rate per night is $100 less than option B. But option B stay is 3 times longer than Option A. You are struggling with choosing either, so you also consider option C. Option C would be a 4 night stay at a nightly rate right in between the rates of option A and B. Find the total cost of trip option C. \n" ); document.write( "
Algebra.Com's Answer #692332 by jorel1380(3719) You can put this solution on YOUR website! Let n and 3n be the number of nights stayed at A and B, respectively . Then: \n" ); document.write( "(599.98+100n)/n=2399.94/3n \n" ); document.write( "3(599.98+100n)=2399.94 \n" ); document.write( "1799.94+300n=2399.94 \n" ); document.write( "300n=600 \n" ); document.write( "n=2 \n" ); document.write( "599.98/2=299.99 \n" ); document.write( "Option A is 299.99/night;Option B is 399.99/night. So, option C is 349.99/night. 4 nights @ 349.99/night=$1399.96 as the total cost of C. ☺☺☺☺ \n" ); document.write( " \n" ); document.write( " |