A car rents for $35 per day plus 20cents per mile. If x represents the number of miles jorge drives per day, 35+0.20x represents the cost of the rental. If jorge has $89 to spend for the daily car rental, what is the maximum number of miles he can travel per day?

35+0.20x = 89

0.2x = 89-35
0.2x = 54
x = ?

no solution

To find the maximum number of miles Jorge can travel per day, we need to set up an equation using the information given.

Let's assume the maximum number of miles Jorge can travel per day is represented by 'm'. So, based on the given information, the cost of the rental per day is given by the equation: 35 + 0.20m.

Since Jorge has $89 to spend, we can set up the equation:

35 + 0.20m = 89

To solve this equation for 'm', we need to isolate 'm' on one side. We can do this by subtracting 35 from both sides:

0.20m = 89 - 35

0.20m = 54

To solve for 'm', divide both sides by 0.20:

m = 54 / 0.20

m = 270

Therefore, the maximum number of miles Jorge can travel per day is 270 miles.