An airplane traveled from Boston to Las Vegas making
a stop in St. Louis. The plane traveled 2410 miles altogether,
which is 230% of the distance from Boston to St. Louis.
Find the distance from Boston to St. Louis to the nearest mile.
The answer is 1048 how do you get this answer
230% of the distance from Boston to St. Louis = 2.3 times the distance from Boston to St. Louis
With that information, you have that :
2.3 x (distance from Boston to St. Louis) = 2410
And you just divide both side of the equation by 2.3.
2410 divided by 2.3 is very close to 1048.
To find the distance from Boston to St. Louis, we can set up a proportion using the information given. Let's represent the distance from Boston to St. Louis as "x."
According to the problem, the airplane traveled 230% of the distance from Boston to St. Louis, which means the total distance traveled is 230% of "x."
We can set up the proportion as follows:
2410 miles / x = 230% / 100%
To solve for "x," we can cross-multiply:
(2410 miles)(100%) = (230%)(x)
2410 miles = 2.3x
Now, divide both sides by 2.3 to isolate "x":
x = 2410 miles / 2.3
x ≈ 1048 miles
Therefore, the distance from Boston to St. Louis, to the nearest mile, is approximately 1048 miles.
To find the distance from Boston to St. Louis, we can set up an equation using the given information.
Let's denote the distance from Boston to St. Louis as "x" miles.
According to the problem, the plane traveled 230% of the distance from Boston to St. Louis, which means it covered 2.3 times the distance from Boston to St. Louis.
Therefore, the equation becomes:
2.3x = 2410
To solve for x, we'll divide both sides of the equation by 2.3:
x = 2410 / 2.3
Calculating this will give us the distance from Boston to St. Louis:
x ≈ 1048
Hence, the distance from Boston to St. Louis is approximately 1048 miles.