Answer :
The equivalent values for the ratio 2 to 3 to 8 is 28kg, 42kg and 112kg
Ratio and proportions
Given the following parameters
Total weight = 182kg
If the weight is divide in the ratio 2:3:8, th3n the total ratio will be;
total ratio = 2 + 3 + 8
Total ratio = 13
For the ratio of 2;
Portion =2/13 * 182
Portion = 28kg
For the ratio of 3;
Portion =3/13 * 182
Portion = 42kg
For the ratio of 8;
Portion =8/13 * 182
Portion = 112kg
Hence the equivalent values for the ratio 2 to 3 to 8 is 28kg, 42kg and 112kg
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Final answer:
To divide 182kg in the ratio of 2:3:8, calculate the value of one part by dividing the total weight by the sum of the ratio parts, then multiply each ratio part by this value to get 28kg, 42kg, and 112kg respectively.
Explanation:
To divide 182kg in the ratio 2:3:8, first, we calculate the total parts in the ratio by adding them together: 2 + 3 + 8 = 13 parts. Then, to find out how much one part is worth, we divide the total weight by the total number of parts: 182kg ÷ 13 = 14kg per part. Next, we multiply the number of parts in each ratio by the value of one part to get the respective weights:
- For the 2 part: 2 × 14kg = 28kg
- For the 3 part: 3 × 14kg = 42kg
- For the 8 part: 8 × 14kg = 112kg
Therefore, 182kg divided in the ratio 2:3:8 gives parts of 28kg, 42kg, and 112kg respectively.
