Question

Jackie buys three hotdogs and one pretzel from a restaurant for $12.25 Sylvia buys two hotdogs and four pretzels from the same restaurant for $16.50 which system of equations can be used to determine the price of a hotdog, h, and a pretzel, p, at the restaurant?

Answer 1

Part A) Option D.

Part B) The price of a hot dog is
`\$3.25`

Explanation:

Part A)

Which system of equations can be used to determine the price of a hot dog, h, and a pretzel, p, at the restaurant?

Let

h-----> the price of a hot dog

p----> the price of a pretzel

we know that

Jackie

`3h+p=12.25` -----> equation A

Sylvia

`2h+4p=16.50` -----> equation B

Part B)

What is the price of a hot dog at the restaurant?

Solve the system of equations by graphing

Remember that the solution of the system of equations is the intersection point both graphs

using a graphing tool

The x-axis is the price of a hot dog

The y-axis is the price of a pretzel

The intersection point is (3.25,2.5)

see the attached figure

therefore

The price of a hot dog is
`\$3.25`

The price of a pretzel is
`\$2.5`