Solve the problem.

-Matthew has two different stocks. One of the stocks is worth $9 more per share than the other. He has 16 shares of the more valuable stock and 32 shares of the other stock. His total assets in stocks
Is $2208. How much is the more expensive stock worth per share?
A) $54 per share
B) $52 per share
C) $9 per share
D) $34 per share

Question

Solve the problem.

-Matthew has two different stocks. One of the stocks is worth $9 more per share than the other. He has 16 shares of the more valuable stock and 32 shares of the other stock. His total assets in stocks
Is $2208. How much is the more expensive stock worth per share?
A) $54 per share
B) $52 per share
C) $9 per share
D) $34 per share

Quizplus · Accepted Answer

Let x be the value of the cheaper stock, then the more expensive stock is worth x + 9. 
Matthew's total assets in stocks is the sum of the products of the number of shares and the value per share of each stock: 
16(x + 9) + 32x = 2208 
Simplifying and solving for x: 
16x + 144 + 32x = 2208 
48x = 2064 
x = 43 
Therefore, the more expensive stock is worth x + 9 = 43 + 9 = $52 per share.

Solve the Problem. -Matthew Has Two Different Stocks. One of the Stocks Is