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?
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Algebra.Com's Answer #324787 by stanbon(75887)\"\" \"About 
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
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\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)
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\n" ); document.write( "Cheers,
\n" ); document.write( "stan H.
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