Question

Explain your answer !!
Have a nice day

Will give braisnlt

Answer 1

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`