Problema Solution

suppose that you receive an unexpected inheritance of $22,400. you have decided to invest the money by placing some of the money in stocks and some in bonds. to diversify, you decide 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?

Answer provided by our tutors

let


s = the money invested in stocks


b = the money invested in bonds


suppose that you receive an unexpected inheritance of $22,400:


s + b = 22400


you decide that three times the amount in bonds should equal five times the amount invested in stocks:


3b = 5s


by solving the system of equations:


s + b = 22400


3b = 5s


we find:


s = $8,400


b = $14,000


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$8,400 should be invested in stocks and $14,000 should be invested in bonds.