document.write( "Question 35290: A vending machine which takes only nickles and dimes contains $4.50. The number of dimes is 5 more than twice the number of nickles. How many of each coin are there?\r
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document.write( "I started with 2n + 5 = 4.50 \n" );
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Algebra.Com's Answer #21450 by narayaba(40)![]() ![]() ![]() You can put this solution on YOUR website! let x denote the number of nickels present in the vending machine \n" ); document.write( "the number of dimes is 5 more than twice the number of nickels \n" ); document.write( "therefore the number of dimes present in the vending machine is 2x + 5 \r \n" ); document.write( "\n" ); document.write( "the total amount in the vending machine is $4.50 which is 450 cents\r \n" ); document.write( "\n" ); document.write( "a dime is 10 cents and nickel is 5 cents\r \n" ); document.write( "\n" ); document.write( "the amount from the dimes is (2x + 5)*10 \n" ); document.write( "the amount from nickels is x*5\r \n" ); document.write( "\n" ); document.write( "(2x+5)*10 + 5*x = 450 \n" ); document.write( "25x + 50 = 450 \n" ); document.write( "25x = 400 \n" ); document.write( "x = 16 \n" ); document.write( "the number of nickels is 16 \n" ); document.write( "the number of dimes is 2*16 + 5 = 37 \n" ); document.write( " |