document.write( "Question 1177331: On Monday, Harold picked up two donuts and six large coffees for the office staff. He paid $6.58. On Tuesday, Melinda picked up six donuts and two large coffees for the office staff. She paid $5.82. What is the cost of one donut? What is the cost of one large coffee? \n" ); document.write( "

Algebra.Com's Answer #806180 by mananth(16946) $\"\"$ $\"About$

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\n" ); document.write( "Let x price of doughnut 0.06
\n" ); document.write( " y price of large coffee 0.17
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\n" ); document.write( "2.00 x + 6.00 y = 6.58
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\n" ); document.write( "6.00 x + 2.00 y = 5.82 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by 1.00
\n" ); document.write( "Multiply (2) by -3.00
\n" ); document.write( "2.00 x 6.00 y = 6.58
\n" ); document.write( "-18.00 x -6.00 y = -17.46
\n" ); document.write( "Add the two equations
\n" ); document.write( "-16.00 x = -10.88
\n" ); document.write( "/ -16.00
\n" ); document.write( "x = 0.68
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "2.00 x + 6.00 y = 6.58
\n" ); document.write( "1.36 + 6.00 y = 6.58
\n" ); document.write( " 6.00 y = 5.22
\n" ); document.write( " y = 0.87
\n" ); document.write( "Ans x = 0.68
\n" ); document.write( " y = 0.87
\n" ); document.write( " $0.68 price of doughnut
\n" ); document.write( " $0.87 price of large coffee
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