document.write( "Question 100827: A bag of peanuts is worth $0.24 less than a bag of cashews. Equal amounts of peanuts and cashews are used to make 44 bags of a mixture that sells for $1.45 per bag. How much is a bag of cashews worth?
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Algebra.Com's Answer #73457 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! \"A bag of peanuts is worth $0.24 less than a bag of cashews.\" \n" ); document.write( "Let x = cost of cashews \n" ); document.write( "Then \n" ); document.write( "(x-.24) = cost of peanuts \n" ); document.write( ": \n" ); document.write( "\"Equal amounts of peanuts and cashews are used to make 44 bags of a mixture that sells for $1.45 per bag.\" \n" ); document.write( ": \n" ); document.write( "Since they say equal amts of both nuts, lets write a bag/cost equation \n" ); document.write( ": \n" ); document.write( "22b cashw + 22b peants = 44b mixture \n" ); document.write( "22x + 22(x-.24) = 1.45(44) \n" ); document.write( ": \n" ); document.write( "22x + 22x - 5.28 = 63.80 \n" ); document.write( ": \n" ); document.write( "22x + 22x = 63.80 + 5.28 \n" ); document.write( ": \n" ); document.write( "44x = 69.08 \n" ); document.write( ": \n" ); document.write( "x = 69.08/44 \n" ); document.write( ": \n" ); document.write( "x = $1.57 cost per bag are the cashews \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution: \n" ); document.write( "Peanuts cost: 1.57 - .24 = 1.33 \n" ); document.write( "1.57(22) + 1.33(22) = 1.45(44) \n" ); document.write( "34.54 + 29.26 = 63.80; confirms our solution\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |