document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=206307>Question 206307</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780195979589/algebrahomeworkh>New Syllabus Mathematics D</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Kindly, help me solve this question.<BR>\n" );
document.write( "There are 38 twenty cent coins, x ten cent coins and (2x-15)fifty cent coins in a box. A coin is selected at random and the probability that it is fifty cent coins is 1/8. Find the value of x. Hence, find the probability that the selected coin is a<BR>\n" );
document.write( "(a)	Twenty cent coin,<BR>\n" );
document.write( "(b)	Ten cent coin.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #155878 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=155878\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are 38 twenty cent coins, x ten cent coins and (2x-15)fifty cent coins in a box. A coin is selected at random and the probability that it is fifty cent coins is 1/8. Find the value of x. Hence, find the probability that the selected coin is a<BR>\n" );
document.write( "(a) Twenty cent coin,<BR>\n" );
document.write( "P(50 cent coin) = (2x-15)/[38+x+2x-15] = 1/8<BR>\n" );
document.write( "Solve for \"x\":<BR>\n" );
document.write( "8(2x-15) = 23+3x<BR>\n" );
document.write( "16x-120 = 23+3x<BR>\n" );
document.write( "13x = 143<BR>\n" );
document.write( "x = 11<BR>\n" );
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document.write( "So, P(20 cent coin) = 38/[38+x+2x-15] = 38/[38+11+22-15] = 38/56<BR>\n" );
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document.write( "(b) Ten cent coin.<BR>\n" );
document.write( "And, P(10 cent coin) = 11/56<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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