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Aleonysh [2.5K]
2 years ago
5

Explain your answer !! Have a nice day Will give braisnlt

Mathematics
1 answer:
natali 33 [55]2 years ago
5 0

Answer:

Equations:

4H + 3P = 13.75

2H + 5P = 11.25

H = 2.50 --- Hot dog

P = 1.25 --- Pretzel

Step-by-step explanation:

Represent hot dogs with H and Pretzels with P.

For Tina:

4H + 3P = 13.75

For Doug:

2H + 5P = 11.25

Solving for the price of both items:

We have:

4H + 3P = 13.75 --- (1)

2H + 5P = 11.25 --- (2)

Multiply (2) by 2

2 * (2H + 5P = 11.25)

-------------------

4H + 10P = 22.50 --- (3)

Subtract (3) from (1)

4H + 3P = 13.75

4H + 10P = 22.50

----------------------

4H - 4H + 3P - 10P = 13.75 - 22.50

3P - 10P = 13.75 - 22.50

-7P = -8.75

Solve for P

P = \frac{-8.75}{-7}

P = 1.25

Substitute 1.25 for P in (2)

2H + 5P = 11.25

2H + 5 * 1.25 = 11.25

2H + 6.25 = 11.25

Collect Like Terms

2H = 11.25-6.25

2H = 5

Solve for H

H = \frac{5}{2}

H = 2.50

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