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A local hamburger shop sold a combined total of 701 hamburgers and cheeseburgers on Sunday. There were 51...

A local hamburger shop sold a combined total of 701 hamburgers and cheeseburgers on Sunday. There were 51 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Sunday?

Answer

Let the number of hamburgers sold be x. Then the number of cheeseburgers sold is x + 51. The total number of hamburgers and cheeseburgers sold is 701. Therefore, we can set up the equation:

x + (x + 51) = 701

Simplifying the equation:

2x + 51 = 701

Subtract 51 from both sides:

2x = 650

Divide both sides by 2:

x = 325

Therefore, 325 hamburgers were sold on Sunday.

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