document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1019934>Question 1019934</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Bobby has a pile of dimes and quarters from his coin<BR>\n" );
document.write( "jar.<BR>\n" );
document.write( "a. In total, Bobby has $24.90. Write an equation in<BR>\n" );
document.write( "which the number of quarters, q, and number of<BR>\n" );
document.write( "dimes, d, add up to $24.90.<BR>\n" );
document.write( "b. If Bobby had 15 more dimes he would the same<BR>\n" );
document.write( "amount of dimes as triple the amount of his<BR>\n" );
document.write( "quarters. Write another equation for this<BR>\n" );
document.write( "situation with q representing the number of<BR>\n" );
document.write( "quarters that Bobby has and d representing the<BR>\n" );
document.write( "number of dimes he has.<BR>\n" );
document.write( "c. Use substitution to solve this system of<BR>\n" );
document.write( "equations for the number of quarters and dimes<BR>\n" );
document.write( "Bobby has.<BR>\n" );
document.write( "d. Explain how you would check your answer in c.<BR>\n" );
document.write( "e. Graph your equations in part a) and b). Be sure<BR>\n" );
document.write( "you show the point of intersection. What does<BR>\n" );
document.write( "this point of intersection mean in the context of<BR>\n" );
document.write( "this problem?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #635874 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=635874\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Bobby has a pile of dimes and quarters from his coin<BR>\n" );
document.write( "jar.<BR>\n" );
document.write( "a. In total, Bobby has $24.90. Write an equation in<BR>\n" );
document.write( "which the number of quarters, q, and number of<BR>\n" );
document.write( "dimes, d, add up to $24.90.<BR>\n" );
document.write( "value + value = 2490 cents<BR>\n" );
document.write( "25q + 10d = 2490<BR>\n" );
document.write( "------------------------------------------------------------<BR>\n" );
document.write( "b. If Bobby had 15 more dimes he would the same<BR>\n" );
document.write( "amount of dimes as triple the amount of his<BR>\n" );
document.write( "quarters. Write another equation for this<BR>\n" );
document.write( "situation with q representing the number of<BR>\n" );
document.write( "quarters that Bobby has and d representing the<BR>\n" );
document.write( "number of dimes he has.<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "d+15 = 3q<BR>\n" );
document.write( "------------------------------------------------------------\r<BR>\n" );
document.write( "\n" );
document.write( "c. Use substitution to solve this system of<BR>\n" );
document.write( "equations for the number of quarters and dimes<BR>\n" );
document.write( "Bobby has.<BR>\n" );
document.write( "25q + 10(3q-15) = 2490<BR>\n" );
document.write( "25q + 30q - 150 = 2490<BR>\n" );
document.write( "55q = 2640<BR>\n" );
document.write( "q = 48<BR>\n" );
document.write( "----<BR>\n" );
document.write( "d = 3q-15 = 3*48-15 = 129<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "d. Explain how you would check your answer in c.<BR>\n" );
document.write( "e. Graph your equations in part a) and b). Be sure<BR>\n" );
document.write( "you show the point of intersection. What does<BR>\n" );
document.write( "this point of intersection mean in the context of<BR>\n" );
document.write( "this problem?  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );