Question

Mr. Harris bought 4 hot dogs and 3 burgers for his family from a

refreshment stand at the beach and paid $27. Ms. Sanders bought 7 hot
dogs and 4 burgers for her family at the same refreshment stand and paid
$41. Which system of equations can be solved to determine h, the price of
hotdog, and b, the price of a burger?

Answer 1

The system of equations to determine the price of a hotdog (h) and a burger (b) is 4h + 3b = 27 for Mr. Harris's purchase, and 7h + 4b = 41 for Ms. Sanders's purchase. Solving these equations will yield the prices.

Step-by-step explanation:

To determine h, the price of a hotdog, and b, the price of a burger, we can use the information provided by the purchases of Mr. Harris and Ms. Sanders at the refreshment stand. Mr. Harris bought 4 hot dogs and 3 burgers and paid $27, while Ms. Sanders bought 7 hot dogs and 4 burgers for $41. We can set up the following system of equations:

• 4h + 3b = 27 (Equation 1 for Mr. Harris's purchase)
• 7h + 4b = 41 (Equation 2 for Ms. Sanders's purchase)

By solving this system of equations, we can find the values of h and b.