a rope is 144 ft long it is cut in to 2 pieces in a ratio of 5:7 how long is each piece

The problem involves dividing a length of rope into two pieces in a ratio of 5:7. Here's how you can solve it:

Step 1: Add the two numbers in the ratio to find the total number of parts. In this case, 5 + 7 = 12 parts.

Step 2: Divide the total length of the rope by the total number of parts to find the length of each part. In this case, 144 ft ÷ 12 parts = 12 ft/part.

Step 3: Multiply the length of each part by the number of parts for each piece of the rope.

For the first piece, 5 parts * 12 ft/part = 60 ft. For the second piece, 7 parts * 12 ft/part = 84 ft.

So, the rope is cut into one piece that is 60 ft long and another piece that is 84 ft long.