document.write( "Question 327131: Three loaves of bread and two jars of peanut butter cost cost $5.49. Four loaves of bread and three jars of peanut butter cost $7.75. Find the rice of a loaf of bread and a jar of peanut butter. \n" ); document.write( "

Algebra.Com's Answer #234309 by stanbon(75887) $\"\"$ $\"About$

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Three loaves of bread and two jars of peanut butter cost cost $5.49.
\n" ); document.write( "3b + 2p = 5.49
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\n" ); document.write( "Four loaves of bread and three jars of peanut butter cost $7.75
\n" ); document.write( "4b + 3p = 7.75
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\n" ); document.write( "Find the price of a loaf of bread and a jar of peanut butter.
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\n" ); document.write( "Multiply thru 1st by 3
\n" ); document.write( "Multiply thru 2nd by 2
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\n" ); document.write( "9b + 6p = 3*5.49
\n" ); document.write( "8b + 6p = 2*7.75
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\n" ); document.write( "Subtract 2nd from 1st and solve for \"b\":
\n" ); document.write( "b = $0.97 (price of loaf of bread)
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\n" ); document.write( "Substitute into 4b+3p = 7.75 to solve for \"p\":
\n" ); document.write( "4(0.97) + 3p = 7.75
\n" ); document.write( "3p = 3.87
\n" ); document.write( "p = $1.29 (price of peanut butter)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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