a 20 metre length of cloth is cut into two pieces in the ratio 1:9. how long is each piece?
it would be 2.2 I think if you divided
short piece --- x
long piece ---- 9x
x + 9x = 20
10x=20
x=2
the short piece is 2 m
the long piece is 18 m
To find the lengths of the two pieces, let's assign variables to represent the lengths.
Let's say the length of the first piece is 'x' metres.
According to the ratio, the length of the second piece is '9x' metres.
The total length of the cloth is 20 metres, so we can set up the equation:
x + 9x = 20
Now, let's solve for 'x' using this equation:
10x = 20
Dividing both sides by 10:
x = 2
Therefore, the length of the first piece is 2 metres, and the length of the second piece is 9 times that, which is:
9 * 2 = 18 metres
So, each piece is 2 metres and 18 metres long, respectively.
To find the length of each piece, we need to divide the total length (20 meters) into two parts based on the given ratio of 1:9.
Step 1: Calculate the total ratio parts
The given ratio of 1:9 can be represented as 1 + 9 = 10 total parts.
Step 2: Calculate the length of each part
To find the length of each part, we divide the total length (20 meters) by the total ratio parts (10).
Length of each part = (Total length) / (Total ratio parts) = 20 meters / 10 = 2 meters
Step 3: Calculate the length of each piece
Since the ratio is 1:9, we have one part of length 1 and another part of length 9.
Length of the first piece = (Length of each part) * (Ratio of the first part) = 2 meters * 1 = 2 meters
Length of the second piece = (Length of each part) * (Ratio of the second part) = 2 meters * 9 = 18 meters
Therefore, the length of each piece is 2 meters and 18 meters, respectively.