SOLUTION: A restaurant manager wants to purchase 200 sets of dishes. One design costs $25 per set, while the other costs $45 per set. If the manager has $7,400 to spend, how many of each des

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Question 517217: A restaurant manager wants to purchase 200 sets of dishes. One design costs $25 per set, while the other costs $45 per set. If the manager has $7,400 to spend, how many of each design should be ordered?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A restaurant manager wants to purchase 200 sets of dishes. One design costs $25 per set, while the other costs $45 per set. If the manager has $7,400 to spend, how many of each design should be ordered?
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Let # of sets with 1st design be "a".
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Let # of sets with 2nd design be "b".
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Equations:
a + b = 200
25a + 45b = 7400
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25a + 45(200-a) = 7400
25a + 45*200 - 45a = 7400
-20a = -1600
a = 80 sets of design # 1
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Solve for "b":
b = 200-a
b = 200-80
b = 120 sets of design # 2
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Cheers,
Stan H.
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