If planet I is 31.8 million miles from the sun than planet II, then planet III is 25.6 million miles father from the sun than planet I. When the total of the distances for these three planets from the sun is 200.2 million miles, how far away from the sun is planet II?
Planet II is__million miles from the sun.
x = Planet II, then Planet I = x+31.8 and Planet III = (x+31.8) + 25.6
x + (x+31.8) + (x+31.8) + 25.6 = 200.2
Solve for x.
To find the distance of Planet II from the sun, let's set up an equation based on the given information.
Let's assume the distance of Planet II from the sun is x million miles.
According to the information provided:
Planet I is 31.8 million miles farther from the sun than Planet II.
So, the distance of Planet I from the sun is x + 31.8 million miles.
Planet III is 25.6 million miles farther from the sun than Planet I.
So, the distance of Planet III from the sun is (x + 31.8) + 25.6 million miles, which simplifies to x + 57.4 million miles.
The total distance of these three planets from the sun is given as 200.2 million miles.
So, we can set up the equation:
x + (x + 31.8) + (x + 57.4) = 200.2
Now, let's solve this equation to find the value of x, which represents the distance of Planet II from the sun.
Combining like terms, the equation becomes:
3x + 89.2 = 200.2
Subtracting 89.2 from both sides of the equation:
3x = 111
Dividing both sides of the equation by 3, we find:
x = 37
Therefore, the distance of Planet II from the sun is 37 million miles.
Hence, Planet II is 37 million miles from the sun.