Respuesta :
35t + 70(7 - t) = 385
...multiply 70
35t + 490 - 70t = 385
...simplify
-35t + 490 = 385
...subtract 490
-35t = -105
...divide -35
t = 3 hours
Answer:
3 hours.
Step-by-step explanation:
In the equation 35t + 70 ( 7 - t ) = 385
t represents the number of hours driving at 35 miles per hour on 385 mile trip.
We will solve this equation for the value of t.
35t + 70 × 7 - 70t = 385
490 - 35t = 385
-35t = 385 - 490
-35t = -105
t = [tex]\frac{105}{35}[/tex]
t = 3 hours
Therefore, number of hours I will drive = 3 hours.
