An investor purchased 250 shares of a stock for $⁢50,500 She is buying more shares at the current rate of $⁢267.14 She wants the average purchase price of all the shares to be $⁢240 The average purchase price is the total amount spent divided by the total number of shares. How many shares should she buy to achieve her desired average purchase price? Round to the nearest whole number if necessary.

Let x be the number of additional shares. The total cost after buying them is $50,500 + $267.14x, and the total number of shares is 250 + x. Set the average equal to $240: $50,500 + $267.14x = $240(250 + x), which gives x = $9,500 ÷ $27.14 ≈ 350.04. Rounded to the nearest whole number, she should buy 350 shares, so the correct choice is 350 shares.

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