Question

Bob wants to rent a car for one day. He contacted two companies. Enterprise Rentals charges $100 plus $3 per mile. Hertz Rental charge $8 per mile. After how many will the total cost for both companies be the same ?

Answer 1

Answer:

20 miles.

Step-by-step explanation:

To solve this problem, we will have to set two expressions representative of Enterprise Rentals & Hertz Rental equal to each other.

Let $m$ equal the number of miles.

If Enterprise Rentals charges $100 plus $3 per mile, we can represent this as:

$100+3m$

If Hertz Rental charges $8 per mile, we can represent this as:

$8m$

Set the expressions equal to each other:

$8m=100+3m$

Subtract $3m$ from both sides of the equation:

$5m=100$

Divide both sides of the equation by the coefficient of $m$, which is $5$:

$m=20$

Therefore, after 20 miles, the total cost for both companies will be the same.

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Check your work by substituting the solved value of $m$ (20), into the initial equation:

$8(20)=100+3(20)$

$160=100+60$

$160=160$

As the total costs are equal to each other, our answer is correct!

Answer 2

Answer:

20 miles

Step-by-step explanation:

160=$3(20)=100

8x20=160