Question

a restaurant sold 350 less hotdogs than hamburgers. altogether, the restaurant sold 700 hotdogs and hamburgers. how many of each did they sell?

Explanation:

Step1: Let the number of hamburgers be $x$.

The number of hot - dogs is $x - 350$.

Step2: Set up an equation based on the total number sold.

$x+(x - 350)=700$.

Step3: Simplify the left - hand side of the equation.

$2x-350 = 700$.

Step4: Add 350 to both sides of the equation.

$2x=700 + 350$, so $2x=1050$.

Step5: Divide both sides by 2 to solve for $x$.

$x=\frac{1050}{2}=525$.

Step6: Find the number of hot - dogs.

The number of hot - dogs is $x - 350=525-350 = 175$.

Answer:

The restaurant sold 525 hamburgers and 175 hot - dogs.