Using elimination, write and solve an equation for the following word problem: The owners of the Riverview Restaurant have hired enough servers to handle 17 tables of customers, and the fire marshal has approved the building for a limit of 56 customers. How many two-seat tables and four-seat tables should the owners purchase?

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Using elimination, write and solve an equation for the following word problem: The owners of the Riverview Restaurant have hired enough servers to handle 17 tables of customers, and the fire marshal has approved the building for a limit of 56 customers. How many two-seat tables and four-seat tables should the owners purchase?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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Given the assumption that the restaurant wants to maximize seating, you want to use the most number of 4-seat tables. Max customers = 56 max tables = 17 2x + 4y = 56 I'd set 4y = 56 and solve getting y = 14. This would maximize tables and leave 3 extra servers that otherwise would be working 2 customer tables that are less profitable. So the restaurant should purchase 0 2 seat tables and 14 4 seat tables unless you are required to purchase 17 tables. In which case i'll analyze it further if you want
Problem states to solve using elimination. Let x = number of two seat tables. Let y = number of 4 seat tables EQUATION 1. x+y = 17 Tables (Given) Now lets form the equation for the total people which is allowed to be 56. 2x +4y = 56 (two per x, the number of 2 seat tables and 4 per y the 4 seat tables. x + y = 17 (Equation 1 from above) x + 2y = 28 This is the people equation divided through by 2 subtract to eliminate. 0 -y= -11, then y the 4 seater tables is 11, the two seater tables would then be 17-11=6. Follow it. Check it.

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