document.write( "Question 424941: I really need help on solving this word problem. It would be GREATLY appreciated if someone could help me!\r
\n" ); document.write( "\n" ); document.write( "- During one month, a homeowner used 500 units of electricity and 100 units of gas for a total utility bill of $88. The next month, 400 units of electricity and 150 units of gas were used for a total bill of $76. What is the unit cost of both types of energy?\r
\n" ); document.write( "\n" ); document.write( "Thank you so much ! \n" ); document.write( "
Algebra.Com's Answer #296074 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
During one month, a homeowner used 500 units of electricity and 100 units of gas for a total utility bill of $88. The next month, 400 units of electricity and 150 units of gas were used for a total bill of $76. What is the unit cost of both types of energy?
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\n" ); document.write( "Equations:
\n" ); document.write( "500e + 100g = 88
\n" ); document.write( "400e + 150g = 76
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\n" ); document.write( "Multiply thru the 1st equation by (3/2) to get
\n" ); document.write( "750e + 150g = 132
\n" ); document.write( "400e + 150g = 76
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\n" ); document.write( "Subtract and solve for \"e\":
\n" ); document.write( "350e = 56
\n" ); document.write( "e = $0.16 or 16 cents per unit for electricity
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\n" ); document.write( "Solve for \"g\":
\n" ); document.write( "500e + 100g = 88
\n" ); document.write( "500*0.16 + 100g = 88
\n" ); document.write( "80 + 100g = 88
\n" ); document.write( "100g = 8
\n" ); document.write( "g = $0.08 or 8 cents per unit for gas
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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