document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=247153>Question 247153</A>: <I><SPAN STYLE=\"word-break: break-all;\"> My daughter has this critical thinking problem and i'm a bit rusy with my algebra :( Can you help?\r<BR>\n" );
document.write( "\n" );
document.write( "\"An apple costs the same as 2 oranges. Together, an orange and a banana cost .10 cents more than an apple. Two oranges cost .15 cents more than a banana. What is the cost for one of each fruit? \" </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #180342 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=180342\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"An apple costs the same as 2 oranges. Together, an orange and a banana cost .10 cents more than an apple. Two oranges cost .15 cents more than a banana. What is the cost for one of each fruit? \"<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "Equations:<BR>\n" );
document.write( "a = 2r<BR>\n" );
document.write( "r + b = a + 10<BR>\n" );
document.write( "2r = b + 15<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Rearrange the 3 equations:<BR>\n" );
document.write( "r + b -a = 10<BR>\n" );
document.write( "a = 2r<BR>\n" );
document.write( "b = 2r-15<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "Substitute for \"a\" and for \"b\" to get:<BR>\n" );
document.write( "r + (2r-15) - (2r) = 10<BR>\n" );
document.write( "r - 15 = 10<BR>\n" );
document.write( "r = 25 cents (cost of one orange)<BR>\n" );
document.write( "a = 2r = 50 cents (cost of one apple)<BR>\n" );
document.write( "b = 2r-15 = 50-15 = 25 cents (cost of one banana)<BR>\n" );
document.write( "=====================================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );