Problem

Best Rentals charges a daily fee plus a mileage fee for renting its cars. Barney was charged $\$ 96$ for 3 days and 300 miles, while Mary was charge $\$ 171$ for 5 days and 600 miles. What does Best Rental charge per day and per mile? A. $\$ 20$ per day; $12 \notin$ per mile B. $\$ 11$ per day; $21 c$ per mile C. $\$ 21$ per day; $11 c$ per mile D. $\$ 22$ per day: 124 per mile

Solution

Step 1 :Let's denote the daily fee as \(d\) and the mileage fee as \(m\).

Step 2 :Based on the problem statement, we can write the following equations: \(3d + 300m = 96\) and \(5d + 600m = 171\).

Step 3 :Solving this system of equations will give us the values of \(d\) and \(m\).

Step 4 :The solution to the system of equations gives us the daily fee and the mileage fee. The daily fee is \(d = 21\) and the mileage fee is \(m = 0.11\).

Step 5 :Final Answer: The daily fee is \(\boxed{\$21}\) and the mileage fee is \(\boxed{\$0.11}\). So, the correct answer is C. \$ 21 per day; 11 c per mile.

From Solvely APP
Source: https://solvelyapp.com/problems/20284/

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