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A cafe only sells two types of sandwiches, turkey and steak. The cafe charges $4 for turkey sandwiches and $6 for steak sandwiches. Last month, the cafe sold $4524 worth of sandwiches. The cafe sold a total of 925 sandwiches.

How many turkey sandwiches did they sell?

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Answer :

X = number of turkey sandwiches

Y = number of steak sandwiches

 

X   + Y    = 925 total sandwiches sold

4X + 6Y = 4524 dollars made

 

-4(X + Y = 925)

 

-4X + (-4Y) = -3700

 4X +  6Y    = 4524

           2Y    = 824

Y = 412

 

X + Y = 925

X + 412 = 925

X = 513 turkey sandwiches

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