SOLUTION: You have $6,800 dollars to spend and purchased 250 sets of dishes. How many $20.00 per set can you purchased and how many $45.00 per set can you purchased. Let x=number of $20.00

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: You have $6,800 dollars to spend and purchased 250 sets of dishes. How many $20.00 per set can you purchased and how many $45.00 per set can you purchased. Let x=number of $20.00      Log On


   

Question 315805: You have $6,800 dollars to spend and purchased 250 sets of dishes. How many $20.00 per set can you purchased and how many $45.00 per set can you purchased.
Let x=number of $20.00 sets
Let y=number of $45.00 sets
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let x=number of $20.00 sets
Let y=number of $45.00 sets
20x%2B+45y+=+6800
There can only be whole number solutions for x and y
45y+=+-20x+%2B+6800
9y+=+-4x+%2B+1360
y+=+-%284%2F9%29%2Ax+%2B+1360%2F9
The plot looks like:
+graph%28+500%2C+500%2C+-50%2C+400%2C+-50%2C+200%2C+-%284%2F9%29%2Ax+%2B+1360%2F9+%29+
Any x's that give a whole number result for y is a solution