The concession stand at the local high school sells pretzels and lemonade. the total cost of two pretzels and a lemonade is $5.75. the total cost of two lemonades is $0.25 more than the cost of a pretzel. what is the cost of a pretzel?

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Your answer would be $2.25

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Step-by-step explanation:

Lets gather some important information from the question:

Important information:

Total cost of lemonades is $0.25 more than the cost of a pretzel

Total cost of two pretzels and a lemonade is $5.75

With the information above, we can use it to find the answer to your question.

We would represent pretzels as P and lemonades as L

P = Pretzel

L = Lemonade

We know that two lemonades is $0.25 more than pretzel.

This means that one lemonade would cost

We would use in our equation.

Now, we can solve.

Once you're done solving, you should get 2.25

This means that the cost of a pretzel is $2.25.

$2.25 should be your FINAL answer.

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The cost of a pretzel is $2.25

Step-by-step explanation:

Hi, to solve this problem we have to write a system of equations with the information given:

Cost of a pretzel : PCost of a lemonade : L

Equation 1

The Total cost of 2 pretezels (2P) and a lemonade (L) is $5.75

Mathematically speaking:

2P + L= 5.75

Equation 2

The total cost of two lemonades (2 L ) is $0.25 more than the cost of a pretzel. ( P + 0.25)

2L = P +0.25

The system is

To obtain the value of P we have to isolate L from 1 equation:

a. L = 5.75 -2P

Then we replace the value obtained in the equation b.

2 ( 5.75-2P ) = P + 0.25

Solving (applying the distrubitve property)

11.5 -4P = P + 0.25

11.5 -0.25 = P + 4P

11.25 = 5P

11.25 /5 = P

2.25 =P

The cost of a pretzel is $2.25.

b

step-by-step explanation:

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