Question 125692This question is from textbook
: Hello, I am having a problem solving word problems. Here is the problem:
A car rental agency advertised renting a luxury, full size car for $24.95 per day and $0.49 per mile. If you rent this car for five days, how many whole miles can you drive if you only have $200.00 to spend. I am given several answers to choose from, but I don't know how to set the problem up to solve it.
Thanks in advance for your help. Sharon
This question is from textbook
Found 2 solutions by checkley71, bucky:
Answer by checkley71(8403)   (Show Source):
You can put this solution on YOUR website! 24.95*5+.49x=200
124.75+.49x=200
.49x=200-124.95
.49x=75.25
x=75.25/.49
153 miles can be driven for < $200.
proof
24.95*5+.49x<200
124.75+.49*153<200
124.75+74.97<200
199.72<200
Answer by bucky(2189) (Show Source):
You can put this solution on YOUR website! Sometimes you get locked into the concept of trying to find a formula to fit a problem, and
if that causes you difficulty you may just want to try to think your way through things and
let your common sense guide you to an answer.
.
So here you are with $200 in your purse and you want to impress your friends by renting something
with a little class to haul them around. You have to budget that money so you don't exceed
your $200.
.
The first thing you know is that every day you rent that car, your going to have to pay the
rental agency $24.95. You plan on renting it for 5 days. So that part of your bill ... 5 days
of renting at $24.95 each day is going to set you back $124.75 ... (from $24.95 times 5).
.
When you fork that amount of money over to the rental agency, how much of the $200 will
you have left to spend on mileage? Let's see ... started with $200 and spent $124.75 so far.
That means the amount left for mileage is $200 minus $124.75 = $75.25.
.
You get into the car and start out ... every time you go a mile it costs you 49 cents or
$0.49. One mile ... 49 cents. Two miles 98 cents. Basically you're going to be able to
drive 2 miles for every dollar you have. And since you have $75.25 to spend on mileage you
can drive about 150 miles for your $75.
.
But that is only an approximate answer. To get a more accurate answer, you have to ask
yourself how many 49 cents there are in $75.25. You get that number by dividing $75.25 by $0.49
and you get the answer of 153.57 miles. So the answer is that you can drive the car 153 miles
during the 5 days you have it. If you drive it 154 miles you break your budget.
.
Now you have to ask yourself if it's worth $200 to impress your friends with a luxury car
to haul them around for 5 days, but limiting your total driving to 150 miles.
.
If the answer is no, then rent a more economical car or get a new set of more practical
friends.
.
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