A piece of timber 273cm long is
cut into three pieces in the ratio of 3 to 7 to11.
Determine the lengths of the three pieces?
3+7+11 = 21
273/21 = 13
so the pieces are 39,91,143 cm
Oh, timber troubles! Let's dive into the ratio riddle.
To find the lengths of the three pieces, we need to calculate their respective ratios first.
The sum of the ratio parts is 3 + 7 + 11 = 21.
Now, we divide the total length of the timber (273cm) by this sum: 273 / 21 = 13cm.
So, each "part" of the ratio represents 13cm.
Now, we multiply these parts by the corresponding ratio numbers:
The first piece: 3 parts x 13cm/part = 39cm.
The second piece: 7 parts x 13cm/part = 91cm.
The third piece: 11 parts x 13cm/part = 143cm.
Voilà! The lengths of the three pieces are 39cm, 91cm, and 143cm. Be cautious when juggling them!
To determine the lengths of the three pieces, we need to find the length of each piece based on the given ratio.
Step 1: Calculate the sum of the parts in the ratio:
3 + 7 + 11 = 21
Step 2: Determine the length of each part by dividing the total length of the timber by the sum of the parts in the ratio:
273 cm / 21 = 13 cm
Step 3: Calculate the length of each piece by multiplying the length determined in step 2 by the corresponding part in the ratio:
First piece: 3 x 13 cm = 39 cm
Second piece: 7 x 13 cm = 91 cm
Third piece: 11 x 13 cm = 143 cm
Therefore, the lengths of the three pieces are 39 cm, 91 cm, and 143 cm, respectively.
To determine the lengths of the three pieces, we need to find the total length of the timber.
The ratio of 3 to 7 to 11 divides the timber into 3 parts. Let's assume the lengths of the three pieces are 3x, 7x, and 11x, respectively.
To find the value of x, we can set up an equation using the total length of the timber:
3x + 7x + 11x = 273
Combining like terms, we get:
21x = 273
Dividing both sides of the equation by 21 gives us:
x = 273/21
We can simplify this further:
x = 13
Now, we can substitute x back into the three lengths:
Length of the first piece = 3x = 3 * 13 = 39 cm
Length of the second piece = 7x = 7 * 13 = 91 cm
Length of the third piece = 11x = 11 * 13 = 143 cm
Therefore, the lengths of the three pieces are 39 cm, 91 cm, and 143 cm, respectively.