Question 367750
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?
Equations:
a + b = 250
20a + 45b = 6800
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Multiply thru 1st by 20 to get:
20a + 20b = 20*250
Subtract that from the 2nd eq.
25b = 1800
b = 72 (# of sets of $20 dishes to purchase)
a = 250-72 = 178 (# of sets of $45 dishes to purchase)
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Cheers,
Stan H.