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?
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
My calculator said it, I believe it, that settles it