Question

Kelly sells 62 shares of stock she owns for a total of $433. If the stock was in two different companies, one selling at $6.50 a share and the other at $7.25 a share, how many of each did she sell?

Answer 1

s = 40 shares (# of 7.25 shares)

x = 22 shares (# of 6.50 shares)

Explanation:

Quantity Equation:: x + s = 62 shares

Value Equation::: 6.50x+7.25s = 433 dollars

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Modify for elimination:

6.5x + 6.5s = 6.5*62

6.5x + 7.25s= 433

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Subtract and solve for "s":

0.75s = 30

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s = 40 shares (# of 7.25 shares)

x = 22 shares (# of 6.50 shares)

Hope this helps