document.write( "Question 131381: 1. Samantha has a total of one hundred forty-one pennies, nickels and quarters. She has a total of $15.17. She has fifteen more quarters than pennies and fifteen fewer quarters than nickels. How many of each coin does she have?\r
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document.write( "2. Jordan has a total of one hundred thirty nickels, dimes and quarters. He has three and a half times as many nickels as dimes, and one-half as many quarters as dimes. How much money does he have? \n" );
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Algebra.Com's Answer #95903 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! 1. Samantha has a total of one hundred forty-one pennies, nickels and quarters. She has a total of $15.17. She has fifteen more quarters than pennies and fifteen fewer quarters than nickels. How many of each coin does she have? \n" ); document.write( "------------- \n" ); document.write( "Let # of pennies be \"x\" ; value of these is x cents \n" ); document.write( "# of quarters is \"x+15\" ;value is 25(x+15)=25x+375 cents \n" ); document.write( "# of nickels is \"x+15+15\" ; value is 5(x+30)=5x+150 cents \n" ); document.write( "----------- \n" ); document.write( "EQUATION: \n" ); document.write( "value + value + value = 1517 cents \n" ); document.write( "x + 25x+375 + 5x + 150 = 1517 \n" ); document.write( "31x = 992 \n" ); document.write( "x = 32 (# of pennies) \n" ); document.write( "x+15 = 47 (# of quarters) \n" ); document.write( "x+30 = 62 (# of nickels) \n" ); document.write( "--------------------------------\r \n" ); document.write( "\n" ); document.write( "2. Jordan has a total of one hundred thirty nickels, dimes and quarters. He has three and a half times as many nickels as dimes, and one-half as many quarters as dimes. How much money does he have? \n" ); document.write( "------------- \n" ); document.write( "Let number of dimes be \"x\" ; value is 10x cents \n" ); document.write( "# of nickels is (7/2)x ; value is 5(7/2)x = (35/2)x \n" ); document.write( "# of quarters is x/2 ; value is 25(x/2) = (25/2)x \n" ); document.write( "---------------------------- \n" ); document.write( "EQUATION: \n" ); document.write( "# + # + # = 130 \n" ); document.write( "x + (7/2)x + (1/2)x = 130 \n" ); document.write( "2x + 7x + x = 260 \n" ); document.write( "10x = 260 \n" ); document.write( "x = 26 (# of dimes; value is 260 cents) \n" ); document.write( "(7/2)x = 91 (# of nickels ; value is 455 cents) \n" ); document.write( "(x/2) = 13 (# of quarters ; value is 425 cents) \n" ); document.write( "--------------- \n" ); document.write( "Value of the coins is 260 + 455 + 425 cents = $11.40 \n" ); document.write( "========================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |