Question

a deli sells sliced meat and cheese. one customer purchases 4 pounds of meat and 5 pounds of cheese for a total of $30.50. a sandwich shop owner comes in and purchases 11 pounds of meat and 14 pounds of cheese for $84.50. the system of equations below represents the situation. 4x 5y = 30.50 11x 14y = 84.50 the variable x represents the . the variable y represents the . the deli charges $ .

Answer 1

Since my answer was deleted here it is:

The variable x represents the cost per pound of meat.

The variable y represents the cost per pound of cheese.

The deli charges $4.50 for a pound of meat.

Have a great day! (this is late but for anyone else who needs it)

Answer 2

Answer:

The cost of 1 pound meat is $ 4.5 And cost of 1 pound of cheese is $ 2.5.

Step-by-step explanation:

Let the cost of 1 pound of meat be x

Let the cost of 1 pound of cheese be y

Cost of 4 pounds of meat = 4x

Cost of 5 pounds of cheese = 5y

Since we are given that one customer purchases 4 pounds of meat and 5 pounds of cheese for a total of $30.50.  

So, equation becomes : $4x+5y = 30.50$

Cost of 11 pounds of meat = 11x

Cost of 14 pounds of cheese = 14y

Since we are given that a sandwich shop owner comes in and purchases 11 pounds of meat and 14 pounds of cheese for $84.50.

So, equation becomes : $11x+14y = 84.50$

Thus the system of equations are :

$4x+5y = 30.50$ -1   (Red line)

$11x+14y = 84.50$ -2   (Black line)

Solving these equations graphically we get the solution

x = $4.5

y = $2.5

Hence The cost of 1 pound meat is $ 4.5 And cost of 1 pound of cheese is $ 2.5.