SOLUTION: As a restaurant owner there are many decisions that you need to make on a daily basis, such as where to keep inventory levels. You wish to replenish your stock of dishes by purcha

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: As a restaurant owner there are many decisions that you need to make on a daily basis, such as where to keep inventory levels. You wish to replenish your stock of dishes by purcha      Log On


   



Question 368860: As a restaurant owner there are many decisions that you need to make on a daily basis, such as where to keep inventory levels. You wish to replenish your stock of dishes by purchasing 250 sets for your restaurant. You have two dish design from which to choose. One design costs $20 per set and the other $45 per set. If you only have $6,800 to spend, how many of each design should you order?

Please help me solve this question

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let represent the number of $20/set sets and represent the number of $45/set sets. Then:





Elimination is the easiest for this system.

Multiply the first equation by





Add the two equations:





From which you get:



hence



Check by substituting the calculated values back into the two equations to ensure that both equations are true statements when the values are inserted.

John

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