Question 1143540
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Let x= the number of tables by Method I and y = the number of tables by Method II.


The condition / (assumption) that all resources are used, gives these two equations


    0.5x + 2y =  85      (hours used)     (1)

     10x + 4y = 476      (money used)     (2)


Solve it by the Elimination method to get the 


Fortunately, it has the solution in integer numbers.


<U>ANSWER</U>.   x= 34 tables by the Method I  and  y= 34 tables by the Method II.
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Solved.