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AlgebraHardFixed fee from two rental prices

Algebra practice question

A rental company charges a fixed fee plus a rate for each day. A 3-day rental costs 95 dollars and a 7-day rental costs 195 dollars. What is the fixed fee, in dollars?

Answer: 20

Four extra days cost 100 dollars, so the daily rate is 25. Then 95 − 3(25) = 20.

Common wrong answers

If you answered 25
25 is the daily rate.
If you answered 75
75 is 3 days at the daily rate.
If you answered 31.67
31.67 divides 95 by 3.

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