document.write( "Question 1037622: Collect some dimes and quarters and determine the amount of money collected. Translate the following into an equation: d dimes and q quarters = A, where A is the amount collected. Graph the equation and determine 2 different combinations of dimes and quarters that total this same amount, A.
\n" ); document.write( "A. $1.75
\n" ); document.write( "B. 10 dimes and 3 quarters.
\n" ); document.write( "C. 15 dimes and 1 quarter.
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #652245 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Collect some dimes and quarters and determine the amount of money collected. Translate the following into an equation: d dimes and q quarters = A, where A is the amount collected. Graph the equation and determine 2 different combinations of dimes and quarters that total this same amount, A.
\n" ); document.write( "A. $1.75
\n" ); document.write( "B. 10 dimes and 3 quarters.
\n" ); document.write( "C. 15 dimes and 1 quarter.
\n" ); document.write( "-----
\n" ); document.write( "Equation::
\n" ); document.write( "10d + 25q = 175 cents
\n" ); document.write( "-----
\n" ); document.write( "2d + 5q = 35
\n" ); document.write( "2d = 35-5q
\n" ); document.write( "2d = 5(7-q)
\n" ); document.write( "Since 2d is even, 7-q must be even and positive
\n" ); document.write( "If q = 1, 2d = 5*(7-1) = 30
\n" ); document.write( "then d = 15
\n" ); document.write( "So # of dimes = 15 when # of quarters = 1
\n" ); document.write( "------
\n" ); document.write( "If q = 3, 2d = 5(7-3) = 20
\n" ); document.write( "then d = 10
\n" ); document.write( "So # of dimes = 10 when # of quarters = 3
\n" ); document.write( "-------'
\n" ); document.write( "If q = 5, 2d = 5(7-5) = 10
\n" ); document.write( "then d = 5
\n" ); document.write( "So # of dimes = 5 when # of quarters = 5
\n" ); document.write( "----------------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "---------------
\n" ); document.write( "
\n" );