document.write( "Question 1154515: Tanner has $4.25 in nickels and quarters. Suppose he has 19 more nickels than quarters. (Let x represent the number of quarters. Complete the table below such that each entry is in terms of x. \n" ); document.write( "

Algebra.Com's Answer #776965 by greenestamps(13200) $\"\"$ $\"About$

You can put this solution on YOUR website!

\r\n" );
document.write( "  # of quarters  # of nickels  total value\r\n" );
document.write( "        x             x+19       (cents)\r\n" );
document.write( " ------------------------------------------\r\n" );
document.write( "        0              19          95\r\n" );
document.write( "        1              20         125\r\n" );
document.write( "        2              21         155\r\n" );
document.write( "       ...\r\n" );
document.write( "       10              29         395\r\n" );
document.write( "       11              30         425

\n" ); document.write( "Of course, in practice you wouldn't solve the problem by making a table; you could use basic algebra.

\n" ); document.write( "However, the table shows how I would solve the problem without algebra, using logical reasoning.

\n" ); document.write( "(1) The 19 \"extra\" nickels have a value of 95 cents.
\n" ); document.write( "(2) adding one more quarter and one more nickel (to keep the number of nickels 19 more than the number of quarters) adds 30 cents to the total.
\n" ); document.write( "(3) 95 cents is 330 cents short of the actual total of 425 cents. The number of times I have to add one quarter and one nickel to make those other 330 cents is 330/30 = 11.

\n" ); document.write( "So I have 11 quarters and 11+19 = 30 nickels

\n" ); document.write( " \n" ); document.write( "

\n" );