A 15-meter cable is cut into two pieces such that the first piece is four times larger than the second. Find the length of each piece.
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A 15-meter cable is cut into two pieces such that the first piece is four times larger than the second. Find the length of each piece.
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Step-by-step explanation:
Let x be the length of the second piece of the cable in meters.
Then, the length of the first piece is 4x.
The sum of the lengths of the two pieces is equal to the total length of the cable, which is 15 meters.
So we can write an equation:
x + 4x = 15
Simplifying and solving for x, we get:
5x = 15
x = 3
Therefore, the length of the second piece is 3 meters, and the length of the first piece is:
4x = 4(3) = 12 meters.