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 $ .

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schoolnotes123 schoolnotes123 · Answer 1 · 2019-03-07T16:33:43+01:00

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)

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wifilethbridge wifilethbridge · Answer 2 · 2019-04-08T11:57:16+02:00

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 : [tex]4x+5y = 30.50[/tex]

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 : [tex]11x+14y = 84.50[/tex]

Thus the system of equations are :

[tex]4x+5y = 30.50[/tex] -1 (Red line)

[tex]11x+14y = 84.50[/tex] -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.