Chapter 6.2, Problem 4STP

Solve each exercise and enter your answer on the grid provided.

An investor bought 3 shares of stock $A$ and 2 shares of stock $B$ for a total of $41. Stock A costs $2.00 more per share than stock $B$.

What is the cost of a share of stock A in dollars?

To determine

To Solve: For the cost of a share of stock A in dollars.

Answer to Problem 4STP

The cost of a share of a stock A is 9 dollars.

  

Explanation of Solution

Given information: An investor bought 3 shares of stock A and 2 shares of stock B for a total of $41. Stock A costs $2.00 more per share than stock B.

Calculation:

Let the cost of stock B is “$ x ”

The Stock A costs $2.00 more per share than stock B.

So, the expression for cost of Stock A is $\$(x+2)$ .

Here 3 shares of stock A and 2 shares of stock B for a total of $41.

  $3(x+2)+2x=41$

Distribute to get rid the parentheses

  $3x+6+2x=41$

Combine like terms

  $5x+6=41$

Subtract both sides 6.

  $5x=35$

Divide both sides by 5.

  $x=7$

Hence the cost of a share of stock A is $ $(7+2)$ which is $9.