Elementary Algebra HW Help!!

Question

Suppose that your​ long-lost Aunt Sara has left you an unexpected inheritance of

​$17 comma 50017,500.

You have decided to invest the money rather than spend it on frivolous purchases.Your financial advisor has recommended that you diversify by placing some of the money in stocks and some in bonds. Based upon current market​ conditions, she has recommended that the amount in bonds should equal

oneone​-fourthfourth

of the amount invested in stocks. How much should be invested in​ stocks? How much should be invested in​ bonds?

Answer 1

Let b be the amount of money invested in bonds and let s be the amount of money invested in stocks. The financial advisor has recommended that the amount invested in bonds should equal 1/4 of the amount invested in stocks.

b = 1/4 (s)

b + s = 17,500

1/4 (s) + s = 17,500

5/4 (s) =17,500

s = 14,000 so b = 1/4 (s) =0.25 s = 3,500