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?

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Answer 1 · 2017-12-14T11:21:35

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

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 =#17xx(x+9) #
= $#(17x +153)#

Given that : His total assets in stocks is $1923. That means:

#42x + 17x + 153 = 1923#

#=> 59x = 1923-153#

#=> 59x = 1770#

#=> 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 xx 39# = $#663#