document.write( "Question 384185: A vendor sells hot dogs, bags of potato chips, and soft drinks. A customer buys 5 hot dogs, 2 bags of potato chips, and 2 soft drinks for $15.50. The price of a hot dog is $0.75 more than the price of a bag of potato chips. The cost of a soft drink is $2.50 less than the price of hot dogs. Find the cost of each item.
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Algebra.Com's Answer #272061 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A vendor sells hot dogs, bags of potato chips, and soft drinks. \n" ); document.write( " A customer buys 5 hot dogs, 2 bags of potato chips, and 2 soft drinks for $15.50. \n" ); document.write( " The price of a hot dog is $0.75 more than the price of a bag of potato chips. The cost of a soft drink is $2.50 less than the price of hot dogs. Find the cost of each item. \n" ); document.write( ": \n" ); document.write( "Let h = no. of hot dogs \n" ); document.write( "Let p = \" potato chips \n" ); document.write( "Let d = \" drinks \n" ); document.write( ": \n" ); document.write( "\"A customer buys 5 hot dogs, 2 bags of potato chips, and 2 soft drinks for $15.50.\" \n" ); document.write( "5h + 2p + 2d = 15.50 \n" ); document.write( ": \n" ); document.write( "\"The price of a hot dog is $0.75 more than the price of a bag of potato chips.\" \n" ); document.write( "h = p + .75 \n" ); document.write( "or \n" ); document.write( "p = h - .75 \n" ); document.write( ": \n" ); document.write( "\"The cost of a soft drink is $2.50 less than the price of hot dogs.\" \n" ); document.write( "d = h - 2.50 \n" ); document.write( ": \n" ); document.write( " Find the cost of each item. \n" ); document.write( "5h + 2p + 2d = 15.50 \n" ); document.write( "replace p and d \n" ); document.write( "5h + 2(h-.75) + 2(h-2.50) = 15.50 \n" ); document.write( ": \n" ); document.write( "5h + 2h - 1.50 + 2h - 5.00 = 15.50 \n" ); document.write( ": \n" ); document.write( "you should be able to do this now \n" ); document.write( " |