SOLUTION: Helen has 1/5 of her portfolio in U.S. stocks, 1/8 of her portfolio in European stock and, 1/10 of her portfolio in Japanese stock. The remainder is invested in municipal bonds. Wh

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Helen has 1/5 of her portfolio in U.S. stocks, 1/8 of her portfolio in European stock and, 1/10 of her portfolio in Japanese stock. The remainder is invested in municipal bonds. Wh      Log On


   

Question 105385: Helen has 1/5 of her portfolio in U.S. stocks, 1/8 of her portfolio in European stock and, 1/10 of her portfolio in Japanese stock. The remainder is invested in municipal bonds. What fraction of her portfolio is invested in municiple bonds? What percent is invested in municiple bonds?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
You can get the answer to this problem by subtracting 1/5, 1/8, and 1/10 from 1 because 1 represents her entire portfolio, thus:
1-1%2F5-1%2F8-1%2F10 The LCD here is 40, so:
40%2F40+-+8%2F40+-+5%2F40+-+4%2F40+=+%2840-17%29%2F40=23%2F40
The remainder of her portfolio, 23%2F40 is invested in Municipal bonds.
To find the equivalent percentage, you would divide the numerator (23) by the denominator(40) and multiply the result by 100 to get the percent.
23%2F40+=+0.575 Multiply by 100 and add the % sign.
23%2F40 = 57.5%