document.write( "Question 112167This question is from textbook Algebra 1
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document.write( ": word problems are one of my weakest points in math...The eanswer i really dont care...but how to go about is wat i do care.....
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document.write( "in example:
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document.write( "Penny collected some change in preparation for a garage sale.She collected two more nickels than twice the number of dimes and eight fewer quarters than twice the number of nickels.if the value of quarters was $1.60 greater than four times the value of nickelsand dimes together, what was the total valueof the change that penny collected.
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Algebra.Com's Answer #81829 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Penny collected some change in preparation for a garage sale. \n" ); document.write( "She collected two more nickels than twice the number of dimes and \n" ); document.write( "eight fewer quarters than twice the number of nickels. \n" ); document.write( "------------- \n" ); document.write( "Let the number of dimes be \"x\"; value of these is 10x cents \n" ); document.write( "# of nickels is 2x+2 : value of these is 5(2x+2)=10x+10 cents \n" ); document.write( "# of quarters is 2(2x+2)-8 = 4x-4;Value of these is 25(4x-4)=100x-100 cents \n" ); document.write( "------------- \n" ); document.write( "if the value of quarters was $1.60 greater than four times the value of nickels and dimes together, \n" ); document.write( "what was the total value of the change that penny collected.\r \n" ); document.write( "\n" ); document.write( "EQUATION: \n" ); document.write( "quarter value - 160 = 4(nickel value + dime value) \n" ); document.write( "100x-100-160 = 4(10x+10+10x) \n" ); document.write( "100x-260 = 80x+40 \n" ); document.write( "20x= 300 \n" ); document.write( "x = 15 (# of dimes) \n" ); document.write( "10x = 150 cents (value of dimes) \n" ); document.write( "10x+10 = 150+10 = 160 cents (value of nickels) \n" ); document.write( "100x-100 = 100*15+100 =1600 cents (value of quarters) \n" ); document.write( "------------- \n" ); document.write( "Total Value = 150+160+1600 = 1910 cents = $19.10 \n" ); document.write( "================ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |