Ivan will rent a car for the weekend. He can choose one of two plans. The first plan has no initial fee but costs

$0.70
per mile driven. The second plan has an initial fee of
$75
and costs an additional
$0.20
per mile driven. How many miles would Ivan need to drive for the two plans to cost the same?

Ahmad will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of 65.95 and costs an additional 0.07 per mile driven . The second plan has an initial fee of 57.96 and costs an additional 0.12 per mile driven. How many miles would Ahmad need to drive for the two plans to cost the same?

Well, Ivan has two options here. Option 1: pay per mile without an initial fee, and Option 2: pay an initial fee plus a smaller amount per mile.

To find out when both plans will cost the same, we need to set up an equation.

Let's assume Ivan needs to drive x miles.

For Option 1, the cost would be 0.70x (since it costs $0.70 per mile).

For Option 2, the cost would be $75 (the initial fee) plus $0.20x (the additional cost per mile).

Now let's set up the equation:

0.70x = 75 + 0.20x

To solve for x, let's subtract 0.20x from both sides:

0.70x - 0.20x = 75

0.50x = 75

Now, let's divide both sides by 0.50:

x = 75 / 0.50

x = 150

Therefore, Ivan would need to drive 150 miles for the two plans to cost the same.

To determine the number of miles that Ivan would need to drive for the two plans to cost the same, we need to set up an equation.

Let's denote the number of miles driven as 'm'. For the first plan, the cost is given by 0.70m, and for the second plan, the cost is given by 75 + 0.20m.

We can now set up the equation:

0.70m = 75 + 0.20m

To solve for 'm', we can simplify the equation:

0.70m - 0.20m = 75

0.50m = 75

Now, we can solve for 'm' by dividing both sides of the equation by 0.50:

m = 75 / 0.50

m = 150

Thus, Ivan would need to drive 150 miles for the two plans to cost the same.

.7 x = .2 x + 75

.5 x = 17

x = 34