Emily embarks on a cross-country bicycle journey and has a budget of $490. She rents a bicycle for $5 and pays an additional $1.75 per mile. Her miscellaneous expenses, such as camping gear and food, total $30. What is the maximum distance (in miles) Emily covers with her budget?
Question
Emily embarks on a cross-country bicycle journey and has a budget of 5 and pays an additional 30. What is the maximum distance (in miles) Emily covers with her budget?
Solution
First, let's subtract the fixed costs (bicycle rental and miscellaneous expenses) from Emily's total budget.
5 (bicycle rental) - 455
This is the amount Emily has left for the per-mile cost of her journey.
Next, we'll divide this amount by the per-mile cost to find out how many miles Emily can afford to travel.
1.75 per mile = 260 miles
So, the maximum distance Emily can cover with her budget is 260 miles.
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