The main span of a suspension bridge is the roadway between the bridge's towers. The main span of the Walt Whitman Bridge in Philadelphia is 2000 feet long. This is 600 feet longer than two-fifths of the length of the main span of the George Washington Bridge in New York City. Write and solve an equation to find the length of the George Washington Bridge.
My answer is
2000=600+2/5x
I am not sure if my equation is correct to solve it.
the equation is correct.
To solve this problem, you need to set up an equation based on the information given and then solve for the unknown variable. Let's start by assigning a variable to represent the length of the main span of the George Washington Bridge.
Let's say x represents the length of the main span of the George Washington Bridge.
According to the information given, the main span of the Walt Whitman Bridge is 2000 feet long. This is also stated to be 600 feet longer than two-fifths of the length of the main span of the George Washington Bridge.
To express the given information mathematically, we can set up the equation as follows:
2000 = (2/5)x + 600
Now we can solve this equation to find the length of the George Washington Bridge.
To solve the equation, we can start by subtracting 600 from both sides to isolate the fraction on the right side of the equation:
2000 - 600 = (2/5)x
Simplifying the left side of the equation gives:
1400 = (2/5)x
Next, we can multiply both sides of the equation by 5/2 (the reciprocal of 2/5) to isolate x:
(1400)(5/2) = x
Simplifying the right side of the equation gives:
3500 = x
So the length of the main span of the George Washington Bridge is 3500 feet.
Therefore, the correct equation to solve the problem is:
2000 = (2/5)x + 600
And the length of the George Washington Bridge is x = 3500 feet.