Kevin ran 4 miles more than Steve ran. The sum of their distances is 26 miles. How far did Steve run? The domain of the solution is {0, 4, 11, 22}.
The total distance ran is 26 mi.
To determine how far Kevin and Steve ran you need to determine the distance x.
Make an equation for the distance Kevin and Steve ran denoting each as x.
You know that Kevin ran 4 mi more than Steve so
(x+4) + x = 26
Minus four from both sides and combined like terms to get.
2x = 22
divide both sides to get
x = 11
now check your solution makes sense by substituting 11 in place of x in the equation.
(11)+4 +(11) = 26
Therefore Kevin ran 15 mi and Steve ran 11.
Well, this is no joke! Let's figure it out.
Let's assume that Steve ran x miles. Since Kevin ran 4 miles more than Steve, Kevin ran x + 4 miles.
According to the problem statement, the sum of their distances is 26 miles. So, we can write an equation: x + (x + 4) = 26.
Simplifying the equation, we get: 2x + 4 = 26.
Subtracting 4 from both sides, we have: 2x = 22.
Finally, dividing both sides by 2, we find: x = 11.
So, Steve ran 11 miles. And it seems like the correct domain is {0, 4, 11, 22}!
Hope that gave you a laugh while getting to the solution. Keep running!
Let's solve this step-by-step.
Let's represent Steve's distance as "x" miles.
According to the given information, Kevin ran 4 miles more than Steve. So, Kevin's distance can be represented as "x + 4" miles.
The sum of their distances is 26 miles. Therefore, the equation becomes:
x + (x + 4) = 26
Combining like terms, we get:
2x + 4 = 26
Subtracting 4 from both sides of the equation, we have:
2x = 22
Finally, dividing both sides of the equation by 2, we find:
x = 11
So Steve ran 11 miles.
Therefore, the solution from the given domain is {11}.
To find out how far Steve ran, we need to set up an equation based on the given information.
Let's assume that Steve ran x miles. Since Kevin ran 4 miles more than Steve, Kevin's distance can be represented as (x + 4) miles.
The sum of their distances is 26 miles. Therefore, we can write the equation as:
x + (x + 4) = 26
Simplifying the equation, we have:
2x + 4 = 26
Now, to solve for x, we need to isolate it by moving the constant term to the other side of the equation:
2x = 26 - 4
2x = 22
Dividing both sides of the equation by 2, we get:
x = 22 / 2
x = 11
So, Steve ran 11 miles.
Now, let's check if the solution falls within the given domain {0, 4, 11, 22}. We can see that Steve ran 11 miles, which is indeed in the domain. Therefore, the solution is valid.