A pension fund owns 11,000 shares in a stock mutual fund and a bond mutual fund. Currently the stock fund sells for $12 per shar

Question

2 years ago

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A pension fund owns 11,000 shares in a stock mutual fund and a bond mutual fund. Currently the stock fund sells for $12 per shar

e and the bond sells fund sells for $15 per share. How many shares of each does the pension fund own if the value of the securities is $150,000?
Fund owns:
Stock fund shares
Bond fund shares

Mathematics

1 answer:

Olenka [21] · Answer 1 · 2022-04-28T23:28:38+03:00

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Answer:

5000 shares of stock fund
6000 shares of bond fund

Step-by-step explanation:

Let b represent the number of shares of the bond fund owned. Then the value of the pension fund is ...

15b +12(11000-b) = 150000

3b = 18000 . . . . . . . . . . subtract 130,000

b = 6000 . . . . . . . . . shares of bond fund

11000 -b = 5000 . . . shares of stock fund