document.write( "Question 161243: sandy has $3.75 in change. she has three more quarters than dimes but twice as many nickles as quarters. express the given information as an algebraic expression and simplify. \n" ); document.write( "
Algebra.Com's Answer #118881 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Sandy has $3.75 in change. She has three more quarters than dimes, but twice as
\n" ); document.write( " many nickels as quarters. Express the given information as an algebraic
\n" ); document.write( "expression and simplify.
\n" ); document.write( ":
\n" ); document.write( "\"Sandy has $3.75 in change.\"
\n" ); document.write( ".05n + .10d + .25q = 3.75
\n" ); document.write( ";
\n" ); document.write( "\"She has three more quarters than dimes,\"
\n" ); document.write( "q = d + 3
\n" ); document.write( "or
\n" ); document.write( "d = q - 3
\n" ); document.write( ":
\n" ); document.write( "\" but twice as many nickels as quarters.\"
\n" ); document.write( "n = 2q
\n" ); document.write( ":
\n" ); document.write( "Substitute for d and n in the 1st equation:
\n" ); document.write( ".05(2q) + .10(q-3) + .25q = 3.75
\n" ); document.write( ".10q + .10q - .3 + .25q = 3.75
\n" ); document.write( ".45q = 3.75 + .30
\n" ); document.write( ".45q = 4.05
\n" ); document.write( "q = \"4.05%2F.45\"
\n" ); document.write( "q = 9 quarters
\n" ); document.write( ":
\n" ); document.write( "I'll let you find n and d\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );