Vic buys a car with 10000 miles on it . He drives 100 miles a week. Eva buys a car with 7000 miles on it she drives an average of 400 miles a week. How many miles will the cars have on them when the number of weeks is the same.
m= 100w + 10000
m= 400w + 7000
100w + 10000 = 400w + 7000
Subtract 7000 and 100w from both sides.
3000 = 300w
Solve for w.
Insert w value in your equations above.
W=10
To find out the number of weeks it will take for Vic and Eva's cars to have the same mileage, we need to set their respective formulas equal to each other.
So, we have:
100w + 10000 = 400w + 7000
To solve for w, let's simplify the equation:
100w - 400w = 7000 - 10000
-300w = -3000
Now, divide both sides of the equation by -300:
w = (-3000) / (-300)
w = 10
Therefore, it will take 10 weeks for both Vic and Eva's cars to have the same mileage.
To find out the mileage they will have at that time, substitute w = 10 into one of the original equations. Let's use the equation for Vic's car:
m = 100w + 10000
m = 100(10) + 10000
m = 1000 + 10000
m = 11000
Therefore, both Vic and Eva's cars will have 11,000 miles on them after 10 weeks.
To find the number of weeks when the number of miles on both cars is the same, we need to solve the equation:
100w + 10000 = 400w + 7000
We can start by simplifying the equation and isolating the variable w:
-300w = -3000
Dividing both sides by -300:
w = 10
Therefore, the number of weeks when the number of miles on both cars is the same is 10 weeks.
To find the number of miles on each car after 10 weeks, we can substitute the value of w back into either equation:
m = 100w + 10000
m = 100(10) + 10000
m = 1000 + 10000
m = 11000
Therefore, both cars will have 11000 miles on them after 10 weeks.