document.write( "Question 137350: Two malts and two sodas cost $1.30. three malts and one soda cost $1.45. Find the cost of one malt and one soda. \n" ); document.write( "
Algebra.Com's Answer #100492 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Two malts and two sodas cost $1.30. three malts and one soda cost $1.45. Find the cost of one malt and one soda.
\n" ); document.write( "--------------------------------
\n" ); document.write( "EQUATIONS:
\n" ); document.write( "2m + 2s = 130
\n" ); document.write( "3m + s = 145
\n" ); document.write( "------------------
\n" ); document.write( "Multiply the 2nd equation by 2 and subtract from the 1st to solve for \"m\":
\n" ); document.write( "-4m = -160
\n" ); document.write( "m = 40
\n" ); document.write( "----------------
\n" ); document.write( "Substitute into 3m+x = 145 to solve for \"s\":
\n" ); document.write( "3*40 + s = 145
\n" ); document.write( "s = 25
\n" ); document.write( "--------------------
\n" ); document.write( "Check answers in 2m+2s = 130
\n" ); document.write( "2*40 + 2*25 = 130
\n" ); document.write( "80 + 50 = 130
\n" ); document.write( "130 = 130
\n" ); document.write( "===============
\n" ); document.write( "Final Answer:
\n" ); document.write( "40 cents (cost of malt)
\n" ); document.write( "25 cents (cost of soda)
\n" ); document.write( "=============================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( " \n" ); document.write( "
\n" );