document.write( "Question 319719: Archie went out for bagels and coffee for his co-workers every day. On Monday, he bought 3 bagels and 2 coffees and spent $2.54. On Tuesday, it cost him $2.46 for 2 bagels and 3 coffees. On Wednesday, he just bought for himself. What did he pay for one bagel and one coffee? \n" ); document.write( "

Algebra.Com's Answer #228977 by stanbon(75887) $\"\"$ $\"About$

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Archie went out for bagels and coffee for his co-workers every day. On Monday, he bought 3 bagels and 2 coffees and spent $2.54. On Tuesday, it cost him $2.46 for 2 bagels and 3 coffees. On Wednesday, he just bought for himself. What did he pay for one bagel and one coffee?
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\n" ); document.write( "Equations:
\n" ); document.write( "3b + 2c = 254 cents
\n" ); document.write( "2b + 3c = 246 cents
\n" ); document.write( "----------------------------
\n" ); document.write( "Multiply 1st by 2; Multiply 2nd by 3
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\n" ); document.write( "6b + 4c = 2*254
\n" ); document.write( "6b + 9c = 3*246
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\n" ); document.write( "Subtract 1st from 2nd and solve for \"c\":
\n" ); document.write( "5c = 230
\n" ); document.write( "c = 56 cents: price of a cup of coffee
\n" ); document.write( "---
\n" ); document.write( "Substitute and solve for \"b\":
\n" ); document.write( "3b + 2*56 = 254
\n" ); document.write( "3b = 142
\n" ); document.write( "b = 47 1/3 cents: price of one bagel
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( " \n" ); document.write( "

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