Suppose that you received an unexpected inheritance of $28,800. You have decided to invest the money by placing some of the money in stocks and some in bonds. To diversify, you decided that three times the amount in bonds should equal five times the amount invested in stocks. How much should be invested in stocks? How much should be invested in bonds?

Question

Mathematics

Marcus Rhodes

14 March, 03:53

Suppose that you received an unexpected inheritance of $28,800. You have decided to invest the money by placing some of the money in stocks and some in bonds. To diversify, you decided that three times the amount in bonds should equal five times the amount invested in stocks. How much should be invested in stocks? How much should be invested in bonds?

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Answers (1)

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Lawson Calderon · Answer 1

S is stocks and b is bonds

s + b = 28800

3b = 5s or s = 3/5 b

substitute in for s

3/5 b + b = 28800

3b + 5b = 144000

8b = 144000

b = 18000 amt in bonds

s + 18000 = 28800

s = 10800 amt in stocks