SOLUTION: A restaurant manager wants to purchase 200 sets of dishes. One design costs ​$15 per​ set, while another costs ​$45 per set. If she wants to use her entire budg

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Question 1031501: A restaurant manager wants to purchase 200
sets of dishes. One design costs ​$15 per​ set, while another costs ​$45 per set. If she wants to use her entire budget of ​$5700​, 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 ​$15 per​ set, while another costs ​$45 per set. If she wants to use her entire budget of ​$5700​, how many of each design should be​ ordered?
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Quantity Eq:: f + t = 200 sets
Value Eq:: 15f + 45t = 5700 dollars
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Modify for elimination::
f + t = 200
f + 3t = 380
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Subtract and solve for "t"::
2t = 180
t = 90 (# of sets of $45 sets to buy)
f = 200 - 90 = 110 (# of $15 sets to buy)
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Cheers,
Stan H.
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