document.write( "Question 1138242: Someone please help..
\n" ); document.write( "Big tipper. On Monday Headley paid $1.70 for two cups of coffee and one doughnut, including the tip. On Tuesday he paid $1.65 for two doughnuts and a cup of coffee, including the tip. On Wednesday he paid $1.30 for one coffee and one doughnut, including the tip. If he always tips the same amount, then what is the amount of each item?
\n" ); document.write( "I know how to do the math but I have no idea what the three equations would be... please help
\n" ); document.write( "I can’t figure out and I need to show work done with three equations.
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Algebra.Com's Answer #756078 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
let c equal the cost for one cup of coffee.
\n" ); document.write( "let d equal the cost for one doughnut.
\n" ); document.write( "let t equal the cost of the tip.\r
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\n" ); document.write( "\n" ); document.write( "your first equation is 2c + d + t = 1.70
\n" ); document.write( "your second equation is c + 2d + t = 1.65
\n" ); document.write( "your third equation is c + d + t = 1.30\r
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\n" ); document.write( "\n" ); document.write( "solve the first and second equations simultaneously to get c - d = .05\r
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\n" ); document.write( "\n" ); document.write( "solve the second and third equations simultaneously to get d = .35\r
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\n" ); document.write( "\n" ); document.write( "since c - d = .05, then c must be equal to .4\r
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\n" ); document.write( "\n" ); document.write( "your solution is that c = .4 and d = .35.\r
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\n" ); document.write( "\n" ); document.write( "go back to any of the 3 equations and solve for t to get t = .55.\r
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\n" ); document.write( "\n" ); document.write( "your solution is the price of a cup of coffee is 40 cents and the price of a doughnut is 35 cents and the tip is 55 cents.\r
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\n" ); document.write( "\n" ); document.write( "i confirmed with all 3 original equations that this solution is correct.\r
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