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Answer :
Final answer:
The question relates to increasing and decreasing a quantity by a given ratio, and dividing a quantity among multiple ratios in mathematics. The key to each of these operations is determining the value of a single part within the ratio, and then applying this to the quantity in question.
Explanation:
The question involves operations with ratios, including increase, decrease, and division, which are fundamental concepts in mathematics.
How to Increase a Quantity in a Given Ratio
To increase R68 in the ratio 7:4, first find the total number of parts in the ratio by adding them together (7+4=11). Then, divide the amount (R68) by the total number of parts to find the value of one part, and finally multiply the value of one part by the number of parts you are increasing by (7 in this case).
How to Decrease a Quantity in a Given Ratio
To decrease 91x in the ratio 5:7, add the two parts of the ratio together (5+7=12) to find the total number of parts. Divide 91x by the total number of parts to find the value of one part, and subtract the product of the value of one part and the ratio part that represents the decrease (multiply one part by 5, the smaller number in the ratio).
How to Divide a Quantity in a Specified Ratio
Divide 182kg in the ratio 2:3:8 by adding all parts of the ratio together to get the total number of parts (2+3+8=13). Divide the total weight by the total number of parts to determine the weight of one part. Then, multiply this weight by each part of the ratio to distribute the 182kg accordingly.
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