document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=881930>Question 881930</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me with this question.  I have been working on it for over 30 minutes!  I cannot figure out how to use the distributive property to express to total amount of money she has when she has 13 dimes.  Thanks you in advance.  <BR>\n" );
document.write( "Sheryl saves her dimes and quarters. She currently has a total of 24 coins, all of which are dimes and quarters.<BR>\n" );
document.write( "a. Write an equation that gives the total amount of money M (in dollars) as a function of the number of dimes d she has.<BR>\n" );
document.write( "b. Show how you can use the distributive property to find the total amount of money she has if she has 13 dimes.<BR>\n" );
document.write( "c. If Sheryl's 24 coins have a total value of $4.80, how many dimes and quarters does she have? Use a table of values and explain how you found your answer. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #532606 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=532606\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Sheryl saves her dimes and quarters. She currently has a total of 24 coins, all of which are dimes and quarters.<BR>\n" );
document.write( " a. Write an equation that gives the total amount of money M (in dollars) as a function of the number of dimes d she has.<BR>\n" );
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document.write( "M = 0.10d + 0.25q<BR>\n" );
document.write( "d + q = 24<BR>\n" );
document.write( "----<BR>\n" );
document.write( "q = 24-d<BR>\n" );
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document.write( "Ans: M = 0.10d + 0.25(24-d)<BR>\n" );
document.write( "M = (0.10-0.25)d + 6<BR>\n" );
document.write( "M = -0.15d + 6<BR>\n" );
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document.write( " b. Show how you can use the distributive property to find the total amount of money she has if she has 13 dimes.<BR>\n" );
document.write( "M = 13d = 10d+3d<BR>\n" );
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document.write( " c. If Sheryl's 24 coins have a total value of $4.80, how many dimes and quarters does she have? Use a table of values and explain how you found your answer.<BR>\n" );
document.write( "Value Eq:: 10d + 25q = 480 cents<BR>\n" );
document.write( "Quantity::  d + q = 24<BR>\n" );
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document.write( "Substitute to solve for \"d\":<BR>\n" );
document.write( "10d + 25(24-d) = 480<BR>\n" );
document.write( "10d + 600 - 25d = 480<BR>\n" );
document.write( "-15d = -200<BR>\n" );
document.write( "Note:: solution is not a whole number<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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