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Twelve people rent a boat By taking 8 more people at the same rental rate the cost to each person is reduced by 2.50 How much is the rent for a boat?
If 12 people rent the boat, it will cost each of them $r. If eight more people, for a total of 20, rent the boat for the same total price, it will cost each of them $(r-2.50).
So, 12r = 20(r-2.50)
12r = 20r - 50
50 = 8r
r = 6.25
The total cost to rent the boat is 12 x 6.25 = 75.
Double-check: 75 ÷ 20 = 3.75 which is 2.50 less than 6.25.
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