Sarah has a piece of rope that is 10 ft long. She wants to cut it into 2 pieces so that the longer piece is 2 ft less than 3 times the shorter piece.
How many ft long will the shorter piece be?
shorter piece --- x
longer piece ---- 3x-2
solve for x:
x + 3x-2 = 10
take it from here
Long=7
Short=3
hi the answer is thirteen
To solve this problem, we can start by assigning a variable to the length of the shorter piece of rope. Let's call it x.
According to the problem, the longer piece is 2 ft less than 3 times the shorter piece. So, the longer piece would be (3x - 2) ft.
Since the total length of the rope is 10 ft, we can set up an equation:
x + (3x - 2) = 10
Now, let's solve for x:
4x - 2 = 10
4x = 12
x = 3
Therefore, the shorter piece of rope will be 3 ft long.