Question

An investor owns shares of Stock A and Stock B. The investor owns a total of 200 shares with a total value of $4000. How many shares of each stock does the investor own?

stock    price
a          $9.50
b          $27.00

The investor owns___shares of Stock A. The investor owns___shares of Stock B.

Answer 1

a = 80 shares of stock A

b =120 shares of stock B

Answer 2

This can be solve by establishing system of equations

Let a be number of shares of stock A

B number of shares of stock B

a + b = 200

9.5a + 27b = 4000

Solving the two equation

a = 80 shares of stock A

b =120 shares of stock B