document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1202330>Question 1202330</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sarah had some money in the piggy bank. On Monday, she took out 2/5 of the money to buy a present. She had $78 left and she put it back into the piggy bank. On Tuesday, she took out 3/8 of the money to buy some story books. She had $28.80 left and she put it back into the piggy bank. After that, she found that there was $246.30 in the piggy bank. How much money did she have in the piggy bank at first? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #837081 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3816)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=837081\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Answer:  <font color=red size=4>$450</font>\r<BR>\n" );
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document.write( "x = starting amount\r<BR>\n" );
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document.write( "(2/5)x = amount she withdraws on Monday<BR>\n" );
document.write( "x - (2/5)x = (3/5)x = amount left in the piggy bank, before the $78 is added<BR>\n" );
document.write( "(3/5)x + 78 = amount after the $78 is added\r<BR>\n" );
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document.write( "(3/5)x + 78 = starting amount for Tuesday<BR>\n" );
document.write( "(3/8)*((3/5)x + 78) = amount withdrawn on Tuesday<BR>\n" );
document.write( "(5/8)*((3/5)x + 78) = amount in the piggy bank before the $28.80 is added<BR>\n" );
document.write( "(5/8)*((3/5)x + 78)+28.80 = amount in the piggy bank after the $28.80 is added\r<BR>\n" );
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document.write( "That final expression is set equal to 246.30 which is the amount she has in the piggy bank after all is said and done.\r<BR>\n" );
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document.write( "(5/8)*((3/5)x + 78)+28.80 = 246.30<BR>\n" );
document.write( "(5/8)*(3/5)x + (5/8)*78+28.80 = 246.30<BR>\n" );
document.write( "(3/8)x + 48.75 + 28.80 = 246.30<BR>\n" );
document.write( "(3/8)x + 77.55 = 246.30<BR>\n" );
document.write( "(3/8)x = 246.30 - 77.55<BR>\n" );
document.write( "(3/8)x = 168.75<BR>\n" );
document.write( "x = 168.75*(8/3)<BR>\n" );
document.write( "x = <font color=red>450</font>\r<BR>\n" );
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document.write( "Check:<BR>\n" );
document.write( "Start with $450<BR>\n" );
document.write( "(2/5)*450 = 180 dollars withdrawn on Monday<BR>\n" );
document.write( "450-180 = 270 dollars remain in the piggy bank<BR>\n" );
document.write( "270+78 = 348 dollars at the end of Monday<BR>\n" );
document.write( "Then,<BR>\n" );
document.write( "(3/8)*348 = 130.50 dollars withdrawn on Tuesday<BR>\n" );
document.write( "348-130.50 = 217.50 dollars remain<BR>\n" );
document.write( "217.50+28.80 = 246.30 dollars in the piggy bank at the end of Tuesday<BR>\n" );
document.write( "We have fully confirmed the answer is correct.<BR>\n" );
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