# Matthew has two different stocks. One is worth $9 more per share than the other. He has 17 shares of the more valuable stock and 42 shares of the other stock. His total assets in stocks is$1923. How much is the more expensive stock per share?

Dec 14, 2017

The value of the expensive share is $39 each and the stock is worth$ 663.

#### Explanation:

Let the stocks with less value be of value $$x$each. Given that : One is worth$9 more per share than the other.

So the value of other share = $$x + 9$......this will be the one with greater value. Given that : He has 17 shares of the more valuable stock and 42 shares of the other stock. That means, He has 17 shares of value$$x + 9$ and 42 shares of value $$x$. So, the stock of less value shares is worth =$$42 x$
and
the stock of more value shares is worth =$17 \times \left(x + 9\right)$
= $$\left(17 x + 153\right)$Given that : His total assets in stocks is$1923. That means:

$42 x + 17 x + 153 = 1923$

$\implies 59 x = 1923 - 153$

$\implies 59 x = 1770$

$\implies x = 30$ -----this is the value of the less expensive share.

So, the value of the more expensive share is x+9 =$39 each. $\therefore$The value of the more expensive stock =$17 \times 39$=$$663$