document.write( "Question 176439This question is from textbook Teaching Textbooks
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document.write( ": Irving has 10% as many quarters as nickels. If Irving has $5.25 in quarters and nickels, how many nickels does he have? \r
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document.write( "I first tried to add .10(.25) and .05x (because I don't know how many nickels, but that does not make sense when I try to solve it. I guess I don't understand what \"10% as many\" means. Does he have 10% more quarters? or 10% out of 100% are quarters? Either way, I can't figure out even how to set this problem up!\r
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document.write( "Thanks for your help! \n" );
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Algebra.Com's Answer #131556 by MathTherapy(10552)![]() ![]() You can put this solution on YOUR website! Irving has 10% as many quarters as nickels. If Irving has $5.25 in quarters and nickels, how many nickels does he have? \r \n" ); document.write( "\n" ); document.write( "I first tried to add .10(.25) and .05x (because I don't know how many nickels, but that does not make sense when I try to solve it. I guess I don't understand what \"10% as many\" means. Does he have 10% more quarters? or 10% out of 100% are quarters? Either way, I can't figure out even how to set this problem up!\r \n" ); document.write( "\n" ); document.write( "Thanks for your help!\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "10% as many quarters means that he has 10% less quarters than nickels. This means that if hypothetically he has 50 nickels, then he would have 5 (10% of 50)quarters.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let amount of nickels = n\r \n" ); document.write( "\n" ); document.write( "Then he has 10% of n = .1n in quarters\r \n" ); document.write( "\n" ); document.write( "Since he has $5.25 in nickels and quarters, then we get:\r \n" ); document.write( "\n" ); document.write( ".05(n) + .25(.1n) = 5.25\r \n" ); document.write( "\n" ); document.write( ".05n + .025n = 5.25\r \n" ); document.write( "\n" ); document.write( ".075n = 5.25\r \n" ); document.write( "\n" ); document.write( "n = 5.25/.075\r \n" ); document.write( "\n" ); document.write( "n = 70\r \n" ); document.write( "\n" ); document.write( "He has 70 nickels \n" ); document.write( " \n" ); document.write( " |