SOLUTION: A fitness club has a budget of 869 to purchase two different types of dumbbell sets. One set costs 31 each, and the deluxe model dumbbell set costs 43 each. The club wants to purch

Question 1025699: A fitness club has a budget of 869 to purchase two different types of dumbbell sets. One set costs 31 each, and the deluxe model dumbbell set costs 43 each. The club wants to purchase 23 new dumbbell sets to use in its gym. How many sets of each type can it purchase?
The club can purchase _____ of the deluxe model and _______ of the regular models
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A fitness club has a budget of $869 to purchase two different types of dumbbell sets. One set costs 31 each, and the deluxe model dumbbell set costs 43 each. The club wants to purchase 23 new dumbbell sets to use in its gym. How many sets of each type can it purchase?
Quantity Eq:: t + f = 23 sets
Value Eq:: 31t+43f = 869 dollars
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Modify for elimination::
31t + 31f = 31*23
31t + 43f = 869
-------
Subtract and solve for "f"::
12f = 156
f = 13 (# of $43 sets)
t = 23-13 = 10 (# of $31 sets)
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Cheers,
Stan H.
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The club can purchase _____ of the deluxe model and _______ of the regular models
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