document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1164649>Question 1164649</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The value of 100 Euros in Different Currencie are:<BR>\n" );
document.write( "US Dollar               133.8<BR>\n" );
document.write( "British Pounds          89.9<BR>\n" );
document.write( "Australian Dollars      143.2<BR>\n" );
document.write( "Russian Ruble          4239.6\r<BR>\n" );
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document.write( "Questions:<BR>\n" );
document.write( "1) 45 British pounds is approximately to how many russian ruble?<BR>\n" );
document.write( "2) Approximately how many Euros will you get for 100 Australian Dollars?<BR>\n" );
document.write( "3) Approximately how many US Dollars will you get for 48 Australian Dollars? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #789067 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=789067\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 100 euros is equivalent to:<BR>\n" );
document.write( "133.8 us dollars<BR>\n" );
document.write( "89.9 british pounds<BR>\n" );
document.write( "143.2 australian dollars<BR>\n" );
document.write( "4239.6 russian rubles\r<BR>\n" );
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document.write( "they're all equal to 100 euros, so we can compare them directly by eliminating the middle man.\r<BR>\n" );
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document.write( "for example:<BR>\n" );
document.write( "let e = 100 euros<BR>\n" );
document.write( "let r = equivalent number of russian rubles<BR>\n" );
document.write( "let u = equivalent number of us dollars\r<BR>\n" );
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document.write( "ratio of u to e is equal to u/e.<BR>\n" );
document.write( "ratio of r to e is equal to r/e.<BR>\n" );
document.write( "ratio of u to r is equal to (u/e)/(r/e) which is equal to (u/e) * (e/r) which makes it equal to u/r.<BR>\n" );
document.write( "ratio of r to us is equal to (r/e)/(u/e) which is equal to (r/e) * (e/u) which makes it equal to r/u.\r<BR>\n" );
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document.write( "with that in mind, we should be able to answer the questions directly without requiring the intervention of the middle man of euros.\r<BR>\n" );
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document.write( "the questions are:\r<BR>\n" );
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document.write( "1) 45 British pounds is approximately to how many russian ruble?\r<BR>\n" );
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document.write( "to answer this question, we need to know the number of russian rubles per british pound.\r<BR>\n" );
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document.write( "that ratio would be 4239.6 / 89.9 \r<BR>\n" );
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document.write( "45 british pound is therefore equivalent to 45 * 4239.6 / 89.9 = 2122.157953 russian rubles.\r<BR>\n" );
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document.write( "2) Approximately how many Euros will you get for 100 Australian Dollars?\r<BR>\n" );
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document.write( "100 euros is equivalent to 143.2 australian dollars.\r<BR>\n" );
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document.write( "to answer this question, we need to know the number of euros per australian dollar.\r<BR>\n" );
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document.write( "that ratio would be 100 / 143.2\r<BR>\n" );
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document.write( "100 australian dollars is therefore equivalent to 100 * 100 / 143.2 = 69.83240223 euros.\r<BR>\n" );
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document.write( "3) Approximately how many US Dollars will you get for 48 Australian Dollars?\r<BR>\n" );
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document.write( "to answer this question, we need to know the number of us dollars per australian dollar.\r<BR>\n" );
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document.write( "that ratio would be 133.8 / 143.2.\r<BR>\n" );
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document.write( "48 australian dollars is therefore equivalent to 48 * 133.8 / 143.2 = 44.87916201 us dollars.\r<BR>\n" );
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document.write( "note that these are not the current exchange rates.\r<BR>\n" );
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document.write( "the current exchange rates for 100 euros is:<BR>\n" );
document.write( "us dollar 117.881<BR>\n" );
document.write( "british pound 90.8688<BR>\n" );
document.write( "australian dollar 162.609<BR>\n" );
document.write( "russian ruble 8933.13\r<BR>\n" );
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document.write( "i used the current exchange rates to confirm the arithmetic was sound.\r<BR>\n" );
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document.write( "for example, 45 british pounds to russian rubles would be 45 * 8933.13 / 90.8688 = 4423.86 russian rubles.<BR>\n" );
document.write( "i used the exchange converter for british pounds to russian rubles directly to confirm this was accurate.<BR>\n" );
document.write( "it was.\r<BR>\n" );
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document.write( "note that the middle man was 100 euros and they canceled out in the arithmetic.\r<BR>\n" );
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document.write( "for example, using the current exchange rate:\r<BR>\n" );
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document.write( "ratio of russian rubles to euros is 8933.13 / 100<BR>\n" );
document.write( "ratio of british pounds to euros is is 90.8688\r<BR>\n" );
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document.write( "ratio of russian rubles to british pounds is (8933.13/100) / (90.8688/100) which becomes 8933.13/100 * 100/90.8688 which then becomes 8933.13/90.8688 because the 100 in the numerator and denominator cancels out.<BR>\n" );
document.write( "8933.13/90.8688 * 45 = 4423.86 - same as i got earlier.\r<BR>\n" );
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document.write( "note again, this was using the current exchange rate.<BR>\n" );
document.write( "the problem exchange rate was used to provide your solutions.\r<BR>\n" );
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document.write( "they are, once again.\r<BR>\n" );
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document.write( "45 british pound is equivalent to 45 * 4239.6 / 89.9 = 2122.157953 russian rubles.\r<BR>\n" );
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document.write( "100 australian dollars is equivalent to 100 * 100 / 143.2 = 69.83240223 euros.\r<BR>\n" );
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document.write( "48 australian dollars is equivalent to 48 * 133.8 / 143.2 = 44.87916201 us dollars.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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