document.write( "Question 994077: A cashier has 25 coins consisting of nickels, dimes, and quarters with a value of $4.90. If the number of dimes is one less than twice the number of nickels, how many of each type of coins does she have? \n" ); document.write( "

Algebra.Com's Answer #613279 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
A cashier has 25 coins consisting of nickels, dimes, and quarters with a value of $4.90. If the number of dimes is one less than twice the number of nickels, how many of each type of coins does she have?
\n" ); document.write( "----------
\n" ); document.write( "Quantity:: n + d + q = 25 coins
\n" ); document.write( "Value::: 5n + 10d+ 25q = 490 cents
\n" ); document.write( "Quantity:: d = 2n-1
\n" ); document.write( "------------------------------
\n" ); document.write( "Rearrange and modify::
\n" ); document.write( "n + d + q = 25
\n" ); document.write( "n + 2d + 5q = 98
\n" ); document.write( "2n - d + 0q = 1
\n" ); document.write( "------------
\n" ); document.write( "Use some method to solve for n, d, and q
\n" ); document.write( "---
\n" ); document.write( "I get:
\n" ); document.write( "n = 3
\n" ); document.write( "d = 5
\n" ); document.write( "q = 17
\n" ); document.write( "----------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "-------- \n" ); document.write( "

\n" );