document.write( "Question 350959: My professor gave the class this problem, \"the problem of the day\", which is optional to do. I would really like to know how to solve this problem, but dont know how to start it. I have a really hard time with word problems.\r
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document.write( "Albert goes into a store and says \"Lend me as much money as I already have, and i will spend $20.00 in your store.\" The owner agrees, and Albert spends $20.00. Albert does the same thing at a second, third, and fourth store, with the owner agreeing each time. After this Albert has no money. What is the total debt to the four store owners?\r
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document.write( "a.)$48.50 b.)$57.75 c.)$61.25 d.)$69.75 e.)$75.00 \n" );
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Algebra.Com's Answer #250863 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Albert goes into a store and says \"Lend me as much money as I already have, \n" ); document.write( " and i will spend $20.00 in your store.\" \n" ); document.write( "The owner agrees, and Albert spends $20.00. \n" ); document.write( "Albert does the same thing at a second, third, and fourth store, with the \n" ); document.write( " owner agreeing each time. \n" ); document.write( "After this Albert has no money. \n" ); document.write( " What is the total debt to the four store owners? \n" ); document.write( ": \n" ); document.write( "Determine how much money, that Albert started out with \n" ); document.write( "x = initial amt \n" ); document.write( ": \n" ); document.write( "First store lends him $x, \n" ); document.write( "2x - 20 = amt he has when enters the 2nd store \n" ); document.write( ": \n" ); document.write( "2nd store lends him (2x-20), he spends 20 therefore \n" ); document.write( " when he leaves the 2nd store he has: \n" ); document.write( "2(2x-20) - 20 \n" ); document.write( "4x - 40 - 20 \n" ); document.write( "4x - 60 = amt when enters the 3rd store \n" ); document.write( ": \n" ); document.write( "3rd store lends him (4x-60), he spends 20 therfore \n" ); document.write( "2(4x-60) - 20 \n" ); document.write( "8x - 120 - 20 \n" ); document.write( "8x - 140 = amt when enters the 4th store \n" ); document.write( ": \n" ); document.write( "The 4th store lends him (8x-140), he spends 20, has nothing left, therefore \n" ); document.write( "2(8x-140) - 20 = 0 \n" ); document.write( "16x - 280 - 20 = 0 \n" ); document.write( "16x - 300 = 0 \n" ); document.write( "16x = 300 \n" ); document.write( "x = \n" ); document.write( "x = $18.75 is Al's initial amt \n" ); document.write( ": \n" ); document.write( "Total up what each store lent him, using the loan expression for each store: \n" ); document.write( "Store 1: (18.75) \n" ); document.write( "Store 2: 2(18.75) - 20 = $17.50 \n" ); document.write( "Store 3: 4(18.75 - 60 = $15 \n" ); document.write( "Store 4: 8(18.75 - 140) = $10 \n" ); document.write( ": \n" ); document.write( "total debt: 18.75 + 17.50 + 15 + 10 = $61.25 \n" ); document.write( " |