Problema Solution

An investor bought 400 shares of stock, some at $5.25 per share and some at $7.75 per share. If the total cost was $2662.50, how many shares of each stock did the investor buy?(Round to two decimal places if necessary.)

Answer provided by our tutors

Let

x = the number of shares bought at $5.25 per share

y = the number of shares bought at $7.75 per share

x + y = 400

5.25x + 7.75y = 2662.50

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click here to see the system of equations solved for x and y

........

x = 175 shares

y = 225 shares

The investor bough 175 shares at $5.25 per share and 225 shares at $7.75 per share.