how many shares of each stock does he own?

Question

Person has $26000 invested in stock A and stock B. Stock A sells for %50 a share and stock B sells for $70. If stock B triples and stock A goes up 50%, his stock will be worth $70,500

Answer 1

50A + 75B = 26000

 

75A + 225b = 70500

 

Multiplies first equation by 3 and the second equation by -2:

 

150A + 225B = 78000

-150A + -450B = -141000

 

- 225b = -63000

  b = 280

 

A = [26000 - 75*280 ]/50 = 100

 

 

CHECK:

   100*75 + 280 * 225 = 70500

Yes, it works! the answers are correct.

 

He has 100 shares of stock A and 280 shares of stock B