Question

Type your let statements, equation, and answers. Submit your work. A restaurant sold 350 less hotdogs than hamburgers. Altogether, the restaurant sold 700 hotdogs

and hamburgers. How many of each did they sell

Answer 1

The restaurant sold 525 hamburgers and 175 hotdogs.

Step-by-step explanation:

Let's represent the number of hamburgers as 'x', since we don't know the exact number. According to the given information, the restaurant sold 350 less hotdogs than hamburgers. So the number of hotdogs can be represented as 'x - 350'.

Altogether, the restaurant sold 700 hotdogs and hamburgers. We can write this as the equation 'x + (x - 350) = 700'. Now we can solve for 'x' to find the number of hamburgers and then calculate the number of hotdogs.

Combining like terms, the equation becomes '2x - 350 = 700'. Adding 350 to both sides, we have '2x = 1050'. Finally, dividing both sides by 2, we find that 'x = 525'.

Therefore, the restaurant sold 525 hamburgers and 525 - 350 = 175 hotdogs.