SOLUTION: I have 2 different dish designs to buy. I need 250 sets. One design costs $20 and the other set $40. I have $6800 to spend. How many of each design can I order? x = number of $20

Question 251737: I have 2 different dish designs to buy. I need 250 sets. One design costs $20 and the other set $40. I have $6800 to spend. How many of each design can I order? x = number of $20 dishes and y = number of $40 dishes
What is the solution to this problem.

Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
X+Y=250 OR X=250-Y
20X+40Y=6,800
REPLACE X IN THE SECOND EQUATION WITH (25-Y) & SOLVE FOR Y.
20(250-Y+40Y=6,800
5,000-20Y+40Y=6,800
20Y=6,800-5,000
20Y=1,800
Y=1,800/20
Y=90 $40 DESIGN CAN BE BOUGHT.
250-90=160 $20 DESIGH CAN BE BOUGHT.
PROOF:
20*160+40*90=6,800
3,200+3,600=6,800
6,800=6,800
RELATED QUESTIONS
A restaurant owner wishes to replenish his stock of dishes by purchasing 250 sets for... (answered by Theo)

you wish to replenish your stock of dishes by purchasing 250 sets for the restaurant. You (answered by rfer)

As a restaurant owner there are many decisions that you need to make on a daily basis,... (answered by nerdybill,JBarnum)

I currently own a restaurant and am in the process of replenishing my stock of dishes. I... (answered by jim_thompson5910)

As a restaurant owner there are many decisions that you need to make on a daily basis,... (answered by stanbon)

I currently own a restaurant and am in the process of replenishing my stock of dishes. I... (answered by checkley77)

As a restaurant owner there are many decisions that you need to make on a daily basis,... (answered by edjones)

Here is my problem that I am stuck with and do not know how to finish: The problem is on (answered by solver91311)

As a restaurant owner there are many decisions that you need to make on a daily basis,... (answered by solver91311)