document.write( "Question 159355This question is from textbook
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document.write( ": I have twice as many nickels as quarters. If the coins are worth $4.90, how many quarters are there? \n" );
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Algebra.Com's Answer #117500 by Earlsdon(6294)![]() ![]() ![]() You can put this solution on YOUR website! Let N = number of nickels and Q = number of quarters. \n" ); document.write( "1) N = 2Q \"I have twice as many nickels as quarters\" \n" ); document.write( "2) 0.05N+0.25Q = 4.90 \"...the coins are worth $4.90,...\" \n" ); document.write( "Substitute the N = 2Q into equation 2) and solve for Q to get the number of quarters. \n" ); document.write( "0.05(2Q)+0.25Q = 4.90 Simplify. \n" ); document.write( "0.35Q = 4.90 Divide both sides by 0.35 \n" ); document.write( "Q = 14 This is the number of quarters. \n" ); document.write( "N = 2Q = 2(14) = 28 This is the number of nickels. \n" ); document.write( "Check: \n" ); document.write( "28(0.05)+14(0.25) = 1.40+3.50 = 4.90 \n" ); document.write( " \n" ); document.write( " |