A deli offers two platters of sandwiches. Platter A has 2 roast

beef sandwiches and 3 turkey sandwiches. Platter B has

3 roast beef sandwiches and 2 turkey sandwiches. (Platter A= $31.00 Platter B= $29.00)

a. Model with Math Write a system of equations to

represent the situation.

b. What is the cost of each sandwich?

Answer a

Following is the equation system.

Equation 1:    $

Equation 2 :   $

Answer (b)

Cost of Roaster beef sandwich = 5$

Cost of Roaster turkey sandwich = 7$

Step-by-step explanation:

Part a

Let

x= roasted beef sandwich

y=turkey sandwich

Equation for platter A will be

Equation 1:    $

Equation for Platter B will be

Equation 2 :   $

Part b

We will solve both equations simultaneously.

Multiply Equation 1 with 2.

Similarly multiply Equation 2 with 3

Now subtract Equation 3 from equation 4

Now putting the value of x in eq # 1