Question

Mr. Sanchez bought 5 hot dogs and 3 soft pretzels for his family at a high school football game. Each hot dog costs $2 less than a soft pretzel. If Mr. Sanchez spent a total of $20, what is the cost of each hot dog? Write the equation.

Answer 1

Answer:

each hot dog is $1.75

Step-by-step explanation:

let 'h' = # of hot dogs

let 'p' = $ of pretzel

let 'p-2' = $ of hot dog

therefore we can create this equation:

5h + 3p = 20

substitute 'p-2' for 'h' to create this equation:

5(p-2) + 3p = 20

5p-10 + 3p = 20

8p - 10 = 20

8p = 30

p = 30/8 or 3.75

how we can use 3.75 for 'p' in this equation:

5h + 3(3.75) = 20

5h + 11.25 = 20

5h = 8.75

h = $1.75