Question 317257: 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?
Hint:
Let x = the number of sets of $20 dishes and y = the number of sets of $45 dishes.
•Solve the equations for the different dish designs to be ordered with the desired technique: graphing, substitution, elimination, matrix.
•Explain how to check your solution for both equations.
PLEASE HELP.... I NEED TO ANASWER THIS TODAY AND IAM STUCK AND SWAMPED WITH OTHER WORK>>> THANK YOU!!!
Found 2 solutions by nerdybill, JBarnum:
Answer by nerdybill(7384)   (Show Source):
You can put this solution on YOUR website! 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?
Hint:
Let x = the number of sets of $20 dishes and y = the number of sets of $45 dishes.
•Solve the equations for the different dish designs to be ordered with the desired technique: graphing, substitution, elimination, matrix.
From:"You wish to replenish your stock of dishes by purchasing 250 sets for your restaurant." we get equation 1:
x + y = 250
From:"you only have $6,800 to spend" we get equation 2:
20x + 45y = 6800
.
Applying the "addition method", multiply the 1st equation by -20 and add the two equations together:
-20x - 20y = -5000
20x + 45y = 6800
-------------------
25y = 1800
y = 72 (sets of $45 dishes)
.
Sets of $25 dishes:
x + y = 250
x + 72 = 250
x = 250-72
x = 178 (sets of $25 dishes)
Answer by JBarnum(2146)  (Show Source):
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