You want to rent a limousine for a trip to the city. the limo costs $700 for the night and $0.15 per mile. you have $750 to spend. write an inequality that represents this scenario. how many miles can the limo travel?

We know:
You have $750 to spend.
A limo costs $700.
They charge $0.15 per mile.

Since we want both sides to balance out, we simply put the solution (how much we have to spend) on one side of the equation, and then the rest on the other side as shown here:

$750 (balance) = $700 (how much renting the limo costs) + 0.15x (it's a decimal since it's 15 cents per mile; the x represents however many miles the limo can travel before it reaches the $750 cap (on the left side of the equation))

Basically:
$750 = $700 + $0.15x

Now, if you want to solve how many miles the limo can travel, simply subtract $700 from both sides (subtract it from the $750).
$750 - $700 = $50

The equation should now be $50 = $0.15x
Isolate x (divide $0.15 to both sides) so:
$50 ÷ $0.15 = 333

The limo can travel a maximum of 333 miles.