A restaurant sold 350 less hotdogs than hamburgers. Altogether the restaurant sold 700 hotdogs and hamburgers. How many of each did they sell?

The restaurant sold 175 hotdogs and 525 hamburgers.

Step-by-step explanation:

Let the restaurant sold x hotdogs and y hamburgers.

Given the restaurant sold 350 more hamburgers than hotdogs.

So, we can write x + 350 = y ... (1)

Again given that the number of total hotdogs and hamburgers sold in the restaurant is 700.

So, x + y = 700 ... (2)

Solving equations (1) and (2) we get

2x + 350 = 700

⇒ 2x = 350

⇒ x = 175

Then from equation (1) we get,

y = 350 + 175 = 525

Therefore, the restaurant sold 175 hotdogs and 525 hamburgers. (Answer)