Answer :
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Answer:
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 [tex](p+25)/2[/tex]
We would use [tex](p+25)/2[/tex] in our [tex]2p + l = 5.75[/tex] equation.
Now, we can solve.
[tex]2p + (p+ 25)/2 = 575\\\\2.5p + 12.5 = 575\\\\2.5p= 562.5\\ {\text} You now will divide\\\\p = 225 or as 2.25[/tex]
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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Answer: 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
- a.2P + L= 5.75
- b.2L = P +0.25
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.