What equation represents the following real-world problem? Cheyenne climbs 468 feet up a mountain. This is 129 feet more than her brother climbs. How high did Cheyenne’s brother climb up the mountain?(1 point)
Responses
1. x−468=129
2. x+468=129
3. x+129=468
4. x−129=468
The correct equation that represents the problem is: x + 129 = 468.
Explanation:
Let x be the height that Cheyenne's brother climbed up the mountain.
The problem tells us that Cheyenne climbed 129 feet more than her brother, so her climb up the mountain can be expressed as (x + 129).
We also know that the total height climbed by both of them combined is 468 feet, so we can set up the equation:
x + (x + 129) = 468
Simplifying this equation gives:
2x + 129 = 468
Subtracting 129 from both sides gives us:
2x = 339
Dividing both sides by 2 gives:
x = 169.5
Therefore, Cheyenne's brother climbed 169.5 feet up the mountain.
So, the correct answer is: x + 129 = 468.