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On Friday, a local hamburger shop sold a combined total of 412 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Friday?

1 Answer

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Let's call the number of hamburgers sold "H" and the number of cheeseburgers sold "C". We know that:

C = 3H (the number of cheeseburgers sold was three times the number of hamburgers sold)

We also know that the total number of hamburgers and cheeseburgers sold was 412:

H + C = 412

Now we can substitute the first equation into the second equation to get an equation with only one variable:

H + 3H = 412

4H = 412

H = 103

Therefore, 103 hamburgers were sold on Friday.
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