An 80-meter rope is cut into 2 pieces given the ratio of 5:15. how long is the shorter rope? the longer rope?
Question
An 80-meter rope is cut into 2 pieces given the ratio of 5:15. how long is the shorter rope? the longer rope?
Solution
To solve this problem, we first need to understand the ratio. The ratio 5:15 can be simplified to 1:3. This means that the rope is divided into 1+3=4 equal parts.
Next, we find the length of each part by dividing the total length of the rope by the number of parts. So, 80 meters divided by 4 equals 20 meters. This is the length of each part.
Since the ratio tells us that the shorter piece is 1 part and the longer piece is 3 parts, we can now find the lengths of the two pieces.
The shorter piece is 1 part, so it is 1*20=20 meters long.
The longer piece is 3 parts, so it is 3*20=60 meters long.
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