document.write( "Question 473427: Solve the problem by using a system of equations.\r
\n" );
document.write( "\n" );
document.write( "A motel rents double rooms at $35 per day and single rooms at $23 per day. If 27 rooms were rented one day for a total of $849, how many rooms of each kind were rented? \n" );
document.write( "
Algebra.Com's Answer #324787 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Solve the problem by using a system of equations. \n" ); document.write( "A motel rents double rooms at $35 per day and single rooms at $23 per day. \n" ); document.write( "If 27 rooms were rented one day for a total of $849, how many rooms of each kind were rented? \n" ); document.write( "---- \n" ); document.write( "Equations: \n" ); document.write( "Quantity: s + d = 27 \n" ); document.write( "--- \n" ); document.write( "Value::: 23s + 35d = 849 \n" ); document.write( "----------------------------------- \n" ); document.write( "Multiply thru the 1st equation by 23 to get: \n" ); document.write( "23s + 23d = 23*27 \n" ); document.write( "23s + 35d = 849 \n" ); document.write( "---- \n" ); document.write( "Subtract and solve for \"d\": \n" ); document.write( "12d = 228 \n" ); document.write( "d = 19 (# of double rooms rented) \n" ); document.write( "--- \n" ); document.write( "solve for \"s\": \n" ); document.write( "s + d = 27 \n" ); document.write( "s + 19 = 27 \n" ); document.write( "s = 8 (# of single rooms rented) \n" ); document.write( "=================== \n" ); document.write( "Cheers, \n" ); document.write( "stan H. \n" ); document.write( " |