Question

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 175 hotdogs and 525 hamburgers.

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)