A woman owns stock in two companies, company A and company B. She owns 79 shares of stock in company A. Each share of stock in company A is worth $12. Each share of stock in company B is worth $19. Write three equations to represent the total number of shares of stock the woman owns. Use pencil and paper. Present at least one other way to show each of these three equations.

Let b be number of shares of stock in company B the woman owns. Let T be the total number of shares of stock the woman owns. Which three equations below represent this situation?

A. 79b=T
B. 79+b=T
C. T−b=79
D. 12b=T
E. T−79=b
F. 12+b=T
G. T−12=b
H. T−b=12

If all we are interested in is the number of shares, all the info about their value is just noise.

a+b = T
a=79
79+b = T
b = T-79
a = T-b
b = T-a

and so on

To represent the total number of shares of stock the woman owns using equations, we can use the given information and the variables given.

1. The woman owns 79 shares of stock in company A, so the equation representing this is:
Equation A: 79 = A

Another way to write this equation is:
Equation A': A = 79

Here, A represents the number of shares of stock in company A.

2. Let's denote the number of shares of stock in company B as b. From the given information, the value of each share of stock in company B is $19. So, the equation representing the stock value in company B is:
Equation B: 19b = B

Another way to write this equation is:
Equation B': B = 19b

Here, B represents the number of shares of stock in company B.

3. The total number of shares the woman owns is the sum of the shares in company A (A) and company B (B). Let's denote the total number of shares as T. The equation representing the total number of shares is:
Equation C: T = A + B

Another way to write this equation is:
Equation C': T = 79 + 19b

Here, T represents the total number of shares the woman owns.

So, the three equations that represent this situation are:
A. 79 = A (or A = 79)
B. 19b = B (or B = 19b)
C. T = 79 + 19b (or T = A + B)