Norman and Suzanne own 31 shares of a fast food restaurant stock and 75 shares of a toy company stock. At the close of the markets on a particular day in​ 2004, their stock portfolio consisting of these two stocks was worth ​$1601.00. The closing price of the fast food restaurant stock was ​$26 more per share than the closing price of the toy company stock on that day. What was the closing price of each stock on that​ day? 

Let the closing price of the toy company stock be $ x $ dollars per share. 

According to the problem, the closing price of the fast food restaurant stock was $ x + 26 $ dollars per share.

The total value of the stock portfolio is given as $1601, and we know that:
- They own 31 shares of the fast food restaurant stock.
- They own 75 shares of the toy company stock.

Thus, the total value of their fast food restaurant stock is $ 31(x + 26) $, and the total value of their toy company stock is $ 75x $.

The sum of these two values is equal to 1601:
\[
31(x + 26) + 75x = 1601
\]

Now, solve this equation step by step:

### Step 1: Expand the equation.
\[
31(x + 26) + 75x = 1601
\]
\[
31x + 806 + 75x = 1601
\]

### Step 2: Combine like terms.
\[
(31x + 75x) + 806 = 1601
\]
\[
106x + 806 = 1601
\]

### Step 3: Subtract 806 from both sides.
\[
106x = 1601 - 806
\]
\[
106x = 795
\]

### Step 4: Solve for $ x $.
\[
x = \frac{795}{106} = 7.5
\]

Thus, the closing price of the toy company stock was $7.50 per share.

### Step 5: Find the closing price of the fast food restaurant stock.
Since the fast food restaurant stock was $26 more per share, its price is:
\[
7.5 + 26 = 33.5
\]

### Final Answer:
- The closing price of the toy company stock was $7.50 per share.
- The closing price of the fast food restaurant stock was $33.50 per share.

Would you like more details or have any questions?

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Here are 5 related questions:
1. How would the solution change if the number of shares for each stock were different?
2. What if the difference in stock prices was $30 instead of $26?
3. How would you calculate the stock prices if the total portfolio value was given in euros?
4. Can we represent this scenario using a system of equations in two variables?
5. How can you verify the solution using substitution?

**Tip:** When solving word problems, always define variables clearly to keep the equations organized and consistent.

Norman and Suzanne own 31 shares of a fast food restaurant stock and 75 shares of a toy company stock. At the close of the markets on a particular day in 2004, their stock portfolio consisting of these two stocks was worth $1601.00. The closing price of the fast food restaurant stock was $26 more per share than the closing price of the toy company stock on that day. What was the closing price of each stock on that day?

This problem involves solving linear equations to find the stock prices of a fast food restaurant and a toy company, given their portfolio value. Learn how to solve for unknowns using basic algebraic methods. Suitable for students in Grades 8-10.

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