document.write( "Question 634033: VALUE OF COINS. Mary has $3.00 in nickels, dimes, and quarters. If she has twice as many dimes as quarters and five more nickels than dimes, how many coins of each type does she have? (NOTE: nickel = 5 cents; dime = 10 cents; quarter = 25 cents) \n" ); document.write( "
Algebra.Com's Answer #399401 by ankor@dixie-net.com(22740)\"\" \"About 
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Let n = no.of nickels
\n" ); document.write( "let d = no. of dimes
\n" ); document.write( "let q = no. of quarters
\n" ); document.write( ":
\n" ); document.write( "Write an equation for each statement, we are going to get all the coins in
\n" ); document.write( " terms of d:
\n" ); document.write( ":
\n" ); document.write( "\"Mary has $3.00 in nickels, dimes, and quarters.\"
\n" ); document.write( ".05n + .10d + .25q = 3.00
\n" ); document.write( ":
\n" ); document.write( "\"If she has twice as many dimes as quarters\"
\n" ); document.write( "d = 2q
\n" ); document.write( "or divide both sides by 2:
\n" ); document.write( "q = .5d
\n" ); document.write( ":
\n" ); document.write( "\" and five more nickels than dimes,\"
\n" ); document.write( "n = d + 5
\n" ); document.write( ":
\n" ); document.write( "In the Total Value equation, replace q with .5d and n with (d+5)
\n" ); document.write( ".05(d+5) + .10d + .25(.5d) = 3.00
\n" ); document.write( ".05d + .25 + .10d + .125d = 3.00
\n" ); document.write( "Combine like terms
\n" ); document.write( ".275d = 3.00 - .25
\n" ); document.write( ".275d = 2.75
\n" ); document.write( "d = \"2.75%2F.275\"
\n" ); document.write( "d = 10 dimes
\n" ); document.write( "then
\n" ); document.write( "n = 10 + 5
\n" ); document.write( "n = 15 nickels
\n" ); document.write( "and
\n" ); document.write( "q = .5(10)
\n" ); document.write( "q = 5 quarters
\n" ); document.write( ":\r
\n" ); document.write( "\n" ); document.write( "See if that checks out
\n" ); document.write( ".05(15) + .10(10) + .25(5) = 3.00 \n" ); document.write( "
\n" );