Norman and Suzanne own 42 shares of a fast food restaurant stock and 60 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 $1719.00. The closing price of the fast food restaurant stock was $30 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?

Question

135004551 135004551

13-03-2019
Mathematics

contestada

Norman and Suzanne own 42 shares of a fast food restaurant stock and 60 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 $1719.00. The closing price of the fast food restaurant stock was $30 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?

Respuesta :

Otras preguntas

The phrase "eight more than a number" can be written as which variable expression? A. 8x B. x-8 C. x+8 D. 8x-8

What is 7 2/10 as a decimal

what expression is not equivalent to this expression? 11y-5 88y-40 5y-11 19y-3 22y-10

if 13 percent of the enslaved africans died on the journey to america, why did the merchants treat them so badly

29) Adam’s sister wants to watch her intake of fat per day. Here is a guideline of the recommended daily allowances. Typical values Women Men Calories 2000 kcal

The perimeter of a rectangle is 96 ft. The ratio of its length to its width is 7 : 5. What are the dimensions of the rectangle? A. 30 ft by 18 ft B. 28 ft by 20

Find the sum of the given arithmetic series. 27 + 20 + 13 + 6 + ... + (–36) a. –45 c. 315 b. –9 d. –90

HOW is anybody supposed to find the answer to this pre calc question???? Express the complex number in trigonometric form. -2 How am i supposed to do anything w

Evaluate the expression when x = 4. 3x + 2 A. 36 B. 24 C. 18 D. 14

Robert is using the following data samples to make a claim about the house values in his neighborhood: House Value A $250,000 B $275,000 C $300,000 D $267,000 E

Ben Ben · Answer 1 · 2019-03-13T01:37:15+01:00

Answer: Restaurant: $34.50; Toy Company: $4.50

Step-by-step explanation:

Let's represent the situation mathematically. I will use "r" for the restaurant stock price and "t" for the toy company stock price.

[tex]42r+60t=1719[/tex] represents the value of their stock portfolio.

[tex]r-t=30[/tex] represents that the restaurant stock was worth $30 more than the toy company stock.

We need to multiply the second equation by 60 to balance the terms out. This gets us [tex]60r-60t=1800[/tex].

Now, you can combine the like terms in these equations to get [tex]102r+0t=3519[/tex], which can be simplified further to [tex]102r=3519[/tex].

Now you need to divide both sides by 102 to remove the coefficient, getting you [tex]r=34.5[/tex]. This means that the price of the restaurant stock was $34.50.

To find the toy company stock price, subtract $30 from the restaurant stock price, because the restaurant stock is worth $30 more than the toy company stock. This gets you $4.50.