document.write( "Question 830283: Ira has 28¢ in his pocket. He has 20 coins that are either pennies or nickels. How many nickels does Ira have?
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #500559 by math-vortex(648)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "Hi, there--\r\n" );
document.write( "\r\n" );
document.write( "THE PROBLEM:\r\n" );
document.write( "Ira has 28¢ in his pocket. He has 20 coins that are either pennies or nickels. How many nickels does Ira have?\r\n" );
document.write( "\r\n" );
document.write( "A SOLUTION:\r\n" );
document.write( "Let N be the number of nickels in Ira's pocket.\r\n" );
document.write( "There are 20 coins altogether, so the number of pennies is 20-N [because N + (20 - N) = 20].\r\n" );
document.write( "\r\n" );
document.write( "The value of the nickels is 5¢ times the number of nickels, or 5N.\r\n" );
document.write( "The value of the pennies is 1¢ times the number of pennies, or 1*(20-N)=20-N.\r\n" );
document.write( "\r\n" );
document.write( "Ira has 28¢ in his pocket, so the value of the nickels and pennies is 28.\r\n" );
document.write( "5N + 20 - N = 28.\r\n" );
document.write( "\r\n" );
document.write( "Solve this equation for N. Combine like terms (5N-N=4N).\r\n" );
document.write( "4N + 20 = 28\r\n" );
document.write( "\r\n" );
document.write( "Subtract 20 from both sides of the equation.\r\n" );
document.write( "4N + 20 - 20 = 28 - 20\r\n" );
document.write( "\r\n" );
document.write( "4N = 8\r\n" );
document.write( "\r\n" );
document.write( "Divide both sides of the equation by 4.\r\n" );
document.write( "4N/4 = 8/4\r\n" );
document.write( "N = 2\r\n" );
document.write( "\r\n" );
document.write( "In this problem, N = 2 means that Ira has 2 nickels in his pocket.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Check your answer using the original words of the problem.\r\n" );
document.write( "Since there are 20 coins altogether, there must be 20-2=18 pennies.\r\n" );
document.write( "Two nickels are worth 10¢, and eighteen pennies are worth, 18¢. \r\n" );
document.write( "Ira has 10+18=28¢ in his pocket.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Hope this helps! Feel free to email if you have any questions about the solution.\r\n" );
document.write( "\r\n" );
document.write( "Good luck with your math,\r\n" );
document.write( "\r\n" );
document.write( "Mrs. F\r\n" );
document.write( "math.in.the.vortex@gmail.com\r\n" );
document.write( "
\n" ); document.write( "
\n" );