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