| 
 
 
 
Question 132131:  An investor buys 3 types of stock (A,B, and C) for a total price of $2750.  Stock A costs $3.00 per share and both stocks B and C cost $2.50 per share.  The investor buys a combined 600 shares of A and B.  A combined 900 shares of A and C are bought.  How many shares of each stock were bought? 
 Answer by stanbon(75887)      (Show Source): 
You can  put this solution on YOUR website! An investor buys 3 types of stock (A,B, and C) for a total price of $2750. Stock A costs $3.00 per share and both stocks B and C cost $2.50 per share.  
The investor buys a combined 600 shares of A and B. 
A combined 900 shares of A and C are bought.  
How many shares of each stock were bought? 
-------------------------- 
Value equation:  
3a  + 2.5b  + 2.5c  = 2750 
a   +    b  +  0    = 600 
a   +    0     c    = 900 
------------------------------- 
Using The TI-83 Matrix function I get: 
a = 500 (# of A stocks sold) 
b = 100 (# of B stocks sold) 
c = 400 (# of C stocks sold) 
================================ 
Cheers, 
Stan H. 
  | 
 
  
 
 |   
 
 |   
 |  |