Question

A restraint sold 350 less hotdogs than hamburgers altogether the restaurant sold 700 hotdogs and hamburgers he many of each did they sell?

A) 200 hotdogs and 550 hamburgers
B) 250 hotdogs and 400 hamburgers
C) 300 hotdogs and 450 hamburgers
D) 350 hotdogs and 300 hamburgers

Answer 1

Using a system of equations, we find that the restaurant sold 175 hotdogs and 525 hamburgers, which is not listed in the given options.

Step-by-step explanation:

The student's question involves solving a system of equations to determine how many hotdogs and hamburgers a restaurant sold. Let's define two variables: let x represent the number of hotdogs and y represent the number of hamburgers sold. According to the information provided, the restaurant sold 350 fewer hotdogs than hamburgers, which can be written as x = y - 350. Additionally, we're told that the restaurant sold a total of 700 hotdogs and hamburgers combined, which gives us a second equation: x + y = 700.