You must scuba dive to the entrance of your room at Jules' Undersea Lodge in Key Largo, Florida. The diver is 1 foot deeper than 2/3 of the elevation of the entrance. What is the elevation of the entrance?
To find the elevation of the entrance to Jules' Undersea Lodge, we need to solve the given equation.
Let "x" be the elevation of the entrance. According to the problem, the diver is 1 foot deeper than 2/3 of the elevation of the entrance. We can express this as:
x - 1 = (2/3)x
To solve for x, we can multiply both sides of the equation by 3 to eliminate the fraction:
3(x - 1) = 2x
Distributing the 3 on the left side:
3x - 3 = 2x
Now, we can isolate the x term by moving the constant term to the other side:
3x - 2x = 3
Simplifying:
x = 3
Therefore, the elevation of the entrance to Jules' Undersea Lodge is 3 feet.