SOLUTION: Pls help fast :) Gene rented a car for “$30 a day and $.30 a mile.” How far did he drive in 2 days if his bill was $105?

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Question 1183520: Pls help fast :)
Gene rented a car for “$30 a day and $.30 a mile.” How far did he drive in 2
days if his bill was $105?

Found 2 solutions by Theo, ikleyn:
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
the cost to rent a car is 30 dollars a day plus 30 cents a mile.
his bill was 105 for 2 day rental.
take away 60 dollars for the 2 day to get 45 dollars at 30 cents a mile.
divide 45 by .30 to get 150 miles.

that should be your answer.

the formula is c = 30 * x + .30 * y
x is the number of days.
y is the number of miles.

when x = 2, the formula becomes:
c = 30 * 2 + .30 * y
simplify to get:
c = 60 + .30 * y
subtract 60 from both sides of the equation to get:
c - 60 = .30 * y
when c = 105, the formula becomes:
105 - 60 = .30 * y
simplify to get:
45 = .30 * y
divide both sides of the equation by .30 to get:
45/.30 = y
solve for y to get:
y = 150

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

From the total of $105, subtract the cost of rent for two days, which is 2*$30 = 60 dollars.


You will get  $105 - 2*$30 = $105 - $60 = $45.


Then divide this difference by the rate of $0.30 per mile, and you will get


    the number of miles = %28105-2%2A60%29%2F0.30 = 45%2F0.30 = 450%2F3 = 150 miles.      ANSWER

Solved and explained.


Such problems are  SO  SIMPLE,  that deserve to be solved   IN  ONE  LINE.


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If you can not solve them in one line  MENTALLY  in  10 - 15 seconds,
it means that there is a hole in your understanding of these problems . . .


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