document.write( "Question 177306: helen has 1/5 of her portfolio in U.S. stocks, 1/8 of her portfolio in European stocks, and 1/10 of her portfolio in Japanese stocks. The remainder is invested in municipal bonds. What fraction of her portfolio is invested in municipal bonds? What percent is invested in municipal bonds?
\n" ); document.write( "From Textbook \n" ); document.write( "

Algebra.Com's Answer #132399 by gonzo(654) $\"\"$ $\"About$

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$\"1%2F5+%2B+1%2F8+%2B+1%2F10+%2B+x+=+1\"$
\n" ); document.write( "multiply both sides of this equation by 40 to get:
\n" ); document.write( " $\"40%2F5+%2B+40%2F8+%2B+40%2F10+%2B+40x+=+40\"$
\n" ); document.write( "simplify to get:
\n" ); document.write( " $\"8+%2B+5+%2B+4+%2B+40x+=+40\"$
\n" ); document.write( "combine like terms to get:
\n" ); document.write( " $\"17+%2B+40x+=+40\"$
\n" ); document.write( "subtract 17 from both sides to get:
\n" ); document.write( " $\"+40x+=+23\"$
\n" ); document.write( "divide both sides by 40 to get:
\n" ); document.write( " $\"x+=+23%2F40\"$
\n" ); document.write( " $\"23%2F40+%2A+100+=+57.5\"$
\n" ); document.write( "23/40 is the same as 57.5%
\n" ); document.write( "to prove this is correct, plug it into the original equation.
\n" ); document.write( "since the sum of all the parts equals the whole, then the sum of all the fractions must = 1.
\n" ); document.write( "1/5 + 1/8 + 1/10 + 23/40 = 1
\n" ); document.write( "1/5 = 8/40
\n" ); document.write( "1/8 = 5/40
\n" ); document.write( "1/10 = 4/40
\n" ); document.write( "add these together to get:
\n" ); document.write( "8/40 + 5/40 + 4/40 + 23/40 = (8+5+4+23)/40 = 40/40 = 1
\n" ); document.write( "your answer is:
\n" ); document.write( "the fraction of her portfolio invested in municipal bonds is 23/40
\n" ); document.write( "the percent of her portfolio invested in municipal bonds is 57.5%\r
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