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Explain your answer !!
Have a nice day

Will give braisnlt

Explain your answer !! Have a nice day Will give braisnlt-example-1
User Sova
by
7.6k points

1 Answer

1 vote

Answer:

Equations:


4H + 3P = 13.75


2H + 5P = 11.25


H = 2.50 --- Hot dog


P = 1.25 --- Pretzel

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 = (-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 = (5)/(2)


H = 2.50

User Yanping
by
8.9k points

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