document.write( "Question 520253: Mathew went to the store and sked for change for a $10.00 bill. He got a handful of nickels, dimes, quarters and dollar bills. He got twice as many quarters as dimes.He got one more nickel than dimes. He got two more dollars than quarters. \n" ); document.write( "
Algebra.Com's Answer #346067 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( "let b = no. dollar bills
\n" ); document.write( ":
\n" ); document.write( "Write an equation for each statement:
\n" ); document.write( ":
\n" ); document.write( "\"Mathew went to the store and sked for change for a $10.00 bill.
\n" ); document.write( " He got a handful of nickels, dimes, quarters and dollar bills.\"
\n" ); document.write( ".05n + .10d + .25q + 1b = 10.00
\n" ); document.write( ";
\n" ); document.write( "\" He got twice as many quarters as dimes.
\n" ); document.write( "q = 2d
\n" ); document.write( ":
\n" ); document.write( "\"He got one more nickel than dimes.\"
\n" ); document.write( "n = (d+1)
\n" ); document.write( ":
\n" ); document.write( "\"He got two more dollars than quarters.\"
\n" ); document.write( "b = (q+2)
\n" ); document.write( "We want each variable in terms of d, replace q with 2d
\n" ); document.write( "b = (2d+2)
\n" ); document.write( ":
\n" ); document.write( ".05n + .10d + .25q + 1b = 10.00
\n" ); document.write( "replace n, q, b
\n" ); document.write( ".05(d+1) + .10d + .25(2d) + (2d+2) = 10.00
\n" ); document.write( ".05d + .05 + .10d + .50d + 2d + 2 = 10.00
\n" ); document.write( "combine like terms
\n" ); document.write( "2.65d + 2.05 = 100
\n" ); document.write( "2.65d = 10.00 - 2.05
\n" ); document.write( "2.65d = 7.95
\n" ); document.write( "d = \"7.95%2F2.64\"
\n" ); document.write( "d = 3 dimes
\n" ); document.write( ";
\n" ); document.write( "I'll let you find the no. of the other coins. check the total that it = $10
\n" ); document.write( "
\n" );