from deltamath, find the number of days

Question

A rental car company charges $63.41 per day to rent a car and $0.05 for every mile driven. Ella wants to rent a car, knowing that:

1. She plans to drive 275 miles.
2. She has at most $200 to spend.

What is the maximum number of days that Ella can rent the car while staying within her budget?

Answer 1

You know you are going 275 miles, you just don't know how long you can take.

With any answer, any number of days you will certainly pay 275 * 0,05 = $13.75

SO that deducts $13.75 from her 200, giving $186.25

Divide that by $63.41 and you get $186.25 * 1 day/ $63.41

and you get 2.93723387478 but that just means you can't take 3 days. You can take 1 day or 2 days, up to you

Answer 2

$63.41 per day

She definitely can't drive for 4 days on $200

3 days would cost $190.23 with $9.77 left to pay for mileage at 5 cents a mile

that would allow only 9.77/.05 = 15.4 miles. She wants to go 275 miles

that leaves either one or two days

for 2 days, the daily charges sum to $126.82 leaving her with $73.18 for mileage

73.18/.05 = 1,463.6 miles

She can rent the car for two days, go 275 miles and have

$59.43 left over