A segment is divided into two parts having lengths in the ratio of 5:3. If the difference between the length of the parts is 6," find the length of each part.
x = ?
segment 1 = (5x) = ? inches
segment 2 = (3x) = ? inches
To find the length of each part of the segment, we can set up an equation using the given information.
Let's say the length of the first part of the segment is 5x inches and the length of the second part is 3x inches.
According to the problem, the difference between the lengths of the two parts is 6 inches. So we can set up the equation:
5x - 3x = 6
Simplifying the equation, we have:
2x = 6
Now we can solve for x by dividing both sides of the equation by 2:
x = 6/2
Simplifying, we get:
x = 3
Now that we have found the value of x, we can substitute it back into the expressions for the lengths of the two parts:
Segment 1 = 5x = 5(3) = 15 inches
Segment 2 = 3x = 3(3) = 9 inches
Therefore, the length of the first part of the segment is 15 inches and the length of the second part is 9 inches.
5x-3x = 6
2x = 6
x =2
then
5x = 10
2x = 4
sure enough 10-4 = 6