document.write( "Question 68149This question is from textbook Algebra for College Students
\n" ); document.write( ": Sarah has a collection of nickels, dimes, and quarters worth $15.75. She has 10 more dimes than nickels and twice as many quarters as dimes. How many coins of each kind does she have? \n" ); document.write( "
Algebra.Com's Answer #48464 by ankor@dixie-net.com(22740)\"\" \"About 
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Write an equation for each statement:
\n" ); document.write( ":
\n" ); document.write( "\"Sarah has a collection of nickels, dimes, and quarters worth $15.75.\"
\n" ); document.write( ".05n + .1d + .25q = 15.75
\n" ); document.write( ":
\n" ); document.write( "\"She has 10 more dimes than nickels\"
\n" ); document.write( "d = n + 10
\n" ); document.write( ":
\n" ); document.write( "\"twice as many quarters as dimes.\"
\n" ); document.write( "q = 2d
\n" ); document.write( ":
\n" ); document.write( " How many coins of each kind does she have?
\n" ); document.write( ":
\n" ); document.write( "Take the 2nd equation and arrange it so n is in terms of d also
\n" ); document.write( "n + 10 = d
\n" ); document.write( "n = (d - 10)
\n" ); document.write( ":
\n" ); document.write( "In the 1st equation substitute (d-10) for n and 2d for q:
\n" ); document.write( ".05n + .1d + .25q = 15.75
\n" ); document.write( ":
\n" ); document.write( ".05(d-10) + .1d + .25(2d) = 15.75
\n" ); document.write( ":
\n" ); document.write( ".05d - .5 + .1d + .5d = 15.75
\n" ); document.write( ":
\n" ); document.write( ".65d - .5 = 15.75
\n" ); document.write( ":
\n" ); document.write( ".65d = 15.75 + .5
\n" ); document.write( ":
\n" ); document.write( ".65d = 16.25
\n" ); document.write( ":
\n" ); document.write( "d = 16.25/.65
\n" ); document.write( ":
\n" ); document.write( "d = 25 dimes
\n" ); document.write( ":
\n" ); document.write( "Remember the statement \"twice as many quarters as dimes.\"
\n" ); document.write( "q = 2(25)
\n" ); document.write( "q = 50 quarters
\n" ); document.write( ":
\n" ); document.write( "The statement \"She has 10 more dimes than nickels\"
\n" ); document.write( "n = 25 - 10
\n" ); document.write( "n - 15 nickels
\n" ); document.write( ":
\n" ); document.write( "Check our solutions
\n" ); document.write( ".05(15) + .1(25) + .25(50) =
\n" ); document.write( ".75 + 2.50 + 12.50 = 15.75 proves our solutions
\n" ); document.write( ":
\n" ); document.write( "How about this? Did it make sense to you?? \n" ); document.write( "
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