A local hamburger shop sold a combined total number of 379 and cheeseburgers on Friday. There were 71 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Friday

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Answer:

225 hamburgers

Step-by-step explanation:

We call h the number of hamburgers and we call s the number of hamburgers with cheese

We know that in total 379 cheeseburgers sold and hamburgers were sold.

This means that:

[tex]h + s = 379[/tex]

We also know that There were 71 fewer cheeseburgers sold than hamburgers

This means that:

[tex]s = h-71[/tex]

Now we substitute the second equation in the first and solve for h.

[tex]h+h-71=379\\\\2h=379+71\\\\h=\frac{450}{2}\\\\h=225[/tex]

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