SOLUTION: I currently own a restaurant and am in the process of replenishing my stock of dishes. I need to purchase 250 sets of dishes for my restaurant and have found two designs I wish to

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: I currently own a restaurant and am in the process of replenishing my stock of dishes. I need to purchase 250 sets of dishes for my restaurant and have found two designs I wish to       Log On


   

Question 316322: I currently own a restaurant and am in the process of replenishing my stock of dishes. I need to purchase 250 sets of dishes for my restaurant and have found two designs I wish to order. One design costs $20 per set and the other $45 per set. I have budgeted $6,800 to spend on the dishes, so how many of each will I order without going over budget?
I can use addition, substitution, graphing or elimination...my problem is actually coming up with the 2 equations correctly. I keep getting decimals for answers and I do know they should be whole numbers for how many sets of each to order... HELP
x = $20 dishes and y = $45 dishes
20x+45y=6800
20x+45y=250
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = $20 dishes and y = $45 dishes. So you have this part set up correctly.


Since "need to purchase 250 sets of dishes", this means that the sum of 'x' and 'y' must be 250. So the first equation is x%2By=250


Also, because "One design costs $20 per set and the other $45 per set." and you "have budgeted $6,800 to spend on the dishes", this means that the second equation is 20x%2B45y=6800. You have this as your first equation.


Does that help?