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

Given data : A deli sells sliced meat and cheese. One customer purchases 4 pounds of meat and 5 pounds of cheese for $ 30.50. A sandwich shop owner comes in and purchases 11 pounds of meat and 14 pounds of cheese for $ 84.50.

To Find : cost of one pound meat and one pound cheese ?

Solution : Let, cost of one pound meat be x and cost of one pound cheese be y.

Now, according to given,

⟹ 4x + 5y = 30.50 ----{ 1 }

⟹ 11x + 14y = 84.50 ----{ 2 }

Now, multiply eq. { 1 } by 11

⟹ 44x + 55y = 335.5 ----{ 3 }

Similarly, multiply eq. { 2 } by 4

⟹ 44x + 56y = 338 ----{ 4 }

Now, subtract eq. { 4 } from eq. { 3 }

44x + 55y = 335.5

- ( 44x + 56y = 338 )

________________________

- y = - 2.5

y = 2.5

Hence, cost of one pound cheese is $ 2.5

Now, put value of y in eq. { 1 }

⟹ 4x + 5y = 30.50

⟹ 4x + 5 * (2.5) = 30.50

⟹ 4x + 12.5 = 30.50

⟹ 4x = 30.50 - 12.5

⟹ 4x = 18

⟹ x = 18/4

⟹ x = 4.5

Hence, cost of one pound meat is $ 4.5

Answer : Cost of one pound meat is $ 4.5 and cost of one pound cheese is $ 2.5.

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Answer 2

Answer:

hope it helps you dear brainliest