A piece of timber 273cm long is cut into three piece in the ratio of 3to7to11.Determine the length of the three pieces.
Ignoring loss due to the width of the sawblade, let the pieces be
3x, 7x, and 11x
3x + 7x + 11x = 273
solve for x, then evaluate each of the parts
Well, if we let the first part of the timber be x cm long, the second part will be 3x cm long, and the third part will be 7x cm long.
Now, we can set up the equation:
x + 3x + 7x = 273
Combining like terms:
11x = 273
Dividing both sides by 11:
x = 24.82
So, the lengths of the three pieces are approximately 24.82 cm, 74.47 cm, and 173.26 cm.
Or, in other words, the lengths are "small-ish", "medium-ish", and "long-ish".
To determine the length of the three pieces, we first need to find the total number of equal parts that make up the ratio.
The ratio is given as 3:7:11, so the total number of equal parts is calculated by adding the three numbers together: 3 + 7 + 11 = 21.
Now, we can find the length of each part by dividing the total length of the timber (273 cm) by the total number of equal parts (21).
Length of each part = Total length / Total number of parts.
Length of each part = 273 cm / 21 = 13 cm.
Next, we multiply the length of each part by the respective ratio values to determine the length of the three pieces.
First piece: 3 parts x 13 cm = 39 cm.
Second piece: 7 parts x 13 cm = 91 cm.
Third piece: 11 parts x 13 cm = 143 cm.
Therefore, the length of the three pieces are 39 cm, 91 cm, and 143 cm, respectively.
To determine the length of the three pieces, we need to divide the total length of the timber (273 cm) into three parts according to the given ratio of 3:7:11.
Step 1: Calculate the total ratio
The total ratio is found by adding up the individual parts of the ratio: 3 + 7 + 11 = 21.
Step 2: Determine the length of each part
To find the length of each part, you need to divide the total length of the timber (273 cm) by the total ratio (21).
Length of the first part (ratio 3) = (3 / 21) * 273 cm
Length of the second part (ratio 7) = (7 / 21) * 273 cm
Length of the third part (ratio 11) = (11 / 21) * 273 cm
Step 3: Calculate the lengths
Using the formulas from Step 2, we can calculate the lengths of the three pieces:
Length of the first part: (3 / 21) * 273 cm = 39 cm
Length of the second part: (7 / 21) * 273 cm = 91 cm
Length of the third part: (11 / 21) * 273 cm = 143 cm
Therefore, the three pieces have lengths of 39 cm, 91 cm, and 143 cm, respectively.