The shares of $2.25 are 200 and the shares of $2.75 are 700.
According to the question,
We have the following information:
An investor bought 700 shares of stock, some at $2.25 per share and some at $2.75 per share. And the total cost was $1825.00.
Now, let's take the shares of $2.25 to be x and the shares of $2.75 to be y.
So, we have the following expression:
x+y = 700
x = 700-y ....(1)
2.25x+2.75y = 1825 ...(2)
Putting the value of x from equation 1:
2.25(700-y)+2.75y = 1825
1575-2.25y+2.75y = 1825
1575+0.5y = 1825
0.5y = 250
y = 250/0.5
y = 500
Now, putting the value of y in equation 1:
x = 700-y
x = 700-500
x = 200
Hence, the shares of $2.25 are 200 and the shares of $2.75 are 700.
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