SOLUTION: An investor bought 300 shares of stock, some at $2.00 per share and some at $3.25 per share. If the total cost was $756.25, how many shares of each stock did the investor buy? (Rou

Question 1204128: An investor bought 300 shares of stock, some at $2.00 per share and some at $3.25 per share. If the total cost was $756.25, how many shares of each stock did the investor buy? (Round to two decimal places if necessary.)

Found 2 solutions by mananth, MathLover1:
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!

Let number of shares at $2.00 be x
And number of shares at $3,25 be y
The investor bought 300 shares of stock,
So, x+y = 300.....................................................(1)
Investment
the total cost was $756.25,
2x+3.25y = 756.25..............................................(2)
Now x+y = 300 multiply by 2
2x+2y = 600
2x+3.25y = 756.25 Subtract the equations ( From (2)
-1.25y = -156.25
divide by -1.25
y = -156.25/ -1.25
y =125
x = 300-125= 175
So, the investor bought 175 shares at $2.00 per share and 125 shares at $3.25 per share.

CHECK
175*2+3.25*125 =756.25

Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

let shares ( $ per share ) be and shares ( $ per share ) be
if an investor bought shares, we have
...solve for
......eq.1

If the total cost was $, we have
....eq.2
substitute from eq.1

go to eq.1 and substitute
......eq.1

check:

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