document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=129143>Question 129143</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Kindly help me with my assignment. I need solution and checking. Thank you!<BR>\n" );
document.write( "1)A number increased by 2/5 of it becomes 210. What is the number?<BR>\n" );
document.write( "2)The sum of 3 consecutive odd integers is 201. Find the largest of the 3 integers?<BR>\n" );
document.write( "3)One number is twice another number when the larger number is diminished by 10, the result is 2 greater than the smaller number. Find the nos.?<BR>\n" );
document.write( "4)There are 31 bills which total P1,830 in a cash box. This bills are either <BR>\n" );
document.write( "P20.00 or P50.00. How many of each domination of bill are there in a box?<BR>\n" );
document.write( "5)The sum of 3 consecutive even integers is 50 more than the smallest one. Find the integers? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #94401 by </B><A HREF=/tutors/aboutme.mpl?userid=Construe><B>Construe(3)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Construe><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=94401\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Question 1\r<BR>\n" );
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document.write( "Let the number be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Then 2/5 of the number is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F5%29%2Ax ALIGN=MIDDLE  ALT=\"%282%2F5%29%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B%282%2F5%29%2Ax=210 ALIGN=MIDDLE  ALT=\"x%2B%282%2F5%29%2Ax=210\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2B2%2F5%29%2Ax=210 ALIGN=MIDDLE  ALT=\"%281%2B2%2F5%29%2Ax=210\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F5%2B2%2F5%29%2Ax=210 ALIGN=MIDDLE  ALT=\"5%2F5%2B2%2F5%29%2Ax=210\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287%2F5%29%2Ax=210 ALIGN=MIDDLE  ALT=\"%287%2F5%29%2Ax=210\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=210%2F%287%2F5%29 ALIGN=MIDDLE  ALT=\"x=210%2F%287%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=210%2A%285%2F7%29 ALIGN=MIDDLE  ALT=\"x=210%2A%285%2F7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=5%2A%28210%2F7%29=5%2A30=150 ALIGN=MIDDLE  ALT=\"x=5%2A%28210%2F7%29=5%2A30=150\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The number is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=150 ALIGN=MIDDLE  ALT=\"150\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Question 2\r<BR>\n" );
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document.write( "Since there are 3 consecutive odd integers, there is a smallest one, a largest one, and one in between. Let the integer in between be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Then the smallest integer will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-2 ALIGN=MIDDLE  ALT=\"x-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the largest will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B2 ALIGN=MIDDLE  ALT=\"x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Their sum is equal to 201, so:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%2B%28x%29%2B%28x%2B2%29=201 ALIGN=MIDDLE  ALT=\"%28x-2%29%2B%28x%29%2B%28x%2B2%29=201\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x=201 ALIGN=MIDDLE  ALT=\"3x=201\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=201%2F3=67 ALIGN=MIDDLE  ALT=\"x=201%2F3=67\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since the largest integer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B2 ALIGN=MIDDLE  ALT=\"x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B2=67%2B2=69 ALIGN=MIDDLE  ALT=\"x%2B2=67%2B2=69\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The largest integer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=69 ALIGN=MIDDLE  ALT=\"69\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Question 3\r<BR>\n" );
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document.write( "Let the smaller number be S and the larger number be L.\r<BR>\n" );
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document.write( "The larger number is twice the smaller number:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=2%2AS ALIGN=MIDDLE  ALT=\"L=2%2AS\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The larger number diminished by 10 is 2 more than the smaller number:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L-10=S%2B2 ALIGN=MIDDLE  ALT=\"L-10=S%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Substituting <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=2%2AS ALIGN=MIDDLE  ALT=\"L=2%2AS\"   DISABLED_style= \"max-width:90%; height:auto;\" > into this equation, we have:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2AS-10=S%2B2 ALIGN=MIDDLE  ALT=\"2%2AS-10=S%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2AS-S=2%2B10 ALIGN=MIDDLE  ALT=\"2%2AS-S=2%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S=12 ALIGN=MIDDLE  ALT=\"S=12\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=2%2AS ALIGN=MIDDLE  ALT=\"L=2%2AS\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=2%2A12=24 ALIGN=MIDDLE  ALT=\"L=2%2A12=24\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The smaller number is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12 ALIGN=MIDDLE  ALT=\"12\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the larger number is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24 ALIGN=MIDDLE  ALT=\"24\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Question 4\r<BR>\n" );
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document.write( "Let A be the number of 20-pound notes and B be the number of 50-pound notes.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2BB=31 ALIGN=MIDDLE  ALT=\"A%2BB=31\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2AA%2B50%2AB=1830 ALIGN=MIDDLE  ALT=\"20%2AA%2B50%2AB=1830\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Substituting <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=31-B ALIGN=MIDDLE  ALT=\"A=31-B\"   DISABLED_style= \"max-width:90%; height:auto;\" > into the second equation,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2A%2831-B%29%2B50%2AB=1830 ALIGN=MIDDLE  ALT=\"20%2A%2831-B%29%2B50%2AB=1830\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=620-20%2AB%2B50%2AB=1830 ALIGN=MIDDLE  ALT=\"620-20%2AB%2B50%2AB=1830\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2850-20%29%2AB=1830-620 ALIGN=MIDDLE  ALT=\"%2850-20%29%2AB=1830-620\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2AB=1210 ALIGN=MIDDLE  ALT=\"30%2AB=1210\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=1210%2F30=121%2F3=40%2B1%2F3 ALIGN=MIDDLE  ALT=\"B=1210%2F30=121%2F3=40%2B1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=31-B=31-%2840%2B1%2F3%29=-%289%2B1%2F3%29 ALIGN=MIDDLE  ALT=\"A=31-B=31-%2840%2B1%2F3%29=-%289%2B1%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Since A and B must necessarily be non-negative integers, there are no valid solutions to this problem. Also, by observation, the total amount of money in the cash box can only range from <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=31%2A20=620 ALIGN=MIDDLE  ALT=\"31%2A20=620\"   DISABLED_style= \"max-width:90%; height:auto;\" > to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=31%2A50=1550 ALIGN=MIDDLE  ALT=\"31%2A50=1550\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1830 ALIGN=MIDDLE  ALT=\"1830\"   DISABLED_style= \"max-width:90%; height:auto;\" > as given in the question is outside that range.\r<BR>\n" );
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document.write( "Question 5\r<BR>\n" );
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document.write( "Let the smallest integer be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Then the middle-valued integer will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B2 ALIGN=MIDDLE  ALT=\"x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and the largest integer will be {{[x+4}}}.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B%28x%2B2%29%2B%28x%2B4%29=x%2B50 ALIGN=MIDDLE  ALT=\"x%2B%28x%2B2%29%2B%28x%2B4%29=x%2B50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B6=x%2B50 ALIGN=MIDDLE  ALT=\"3x%2B6=x%2B50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=50-6=44 ALIGN=MIDDLE  ALT=\"2x=50-6=44\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=44%2F2=22 ALIGN=MIDDLE  ALT=\"x=44%2F2=22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B2=22%2B2=24 ALIGN=MIDDLE  ALT=\"x%2B2=22%2B2=24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B4=22%2B4=26 ALIGN=MIDDLE  ALT=\"x%2B4=22%2B4=26\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The integers are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=22 ALIGN=MIDDLE  ALT=\"22\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24 ALIGN=MIDDLE  ALT=\"24\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=26 ALIGN=MIDDLE  ALT=\"26\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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