Mathematics, Physics, and Biology school positions are in a 5 : 7 : 8 proportion. Proposed expansions are 40%, 50%, and 75% respectively. What will be the new ratio?
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Answer: A. 2 : 3 : 4
Explanation
The correct answer is two to three to four for the new expanded ratio. Applying respective percentage expansions to parts five, seven, and eight gives new values. Simplifying the resulting expanded numbers produces the reduced ratio of two to three to four. Initial proportions are represented by parts five, seven, and eight respectively. Expanding a number by a percentage involves multiplying by one plus the percentage decimal. Dividing the expanded parts by a common divisor reduces them to simplest ratio form.
Proportional scaling is used in resource allocation when departments expand at different rates. Chemical mixture formulations adjust component proportions using percentage expansion rules. Budget planning applies proportional adjustments to various departmental funding categories. Option B represents an intermediate or incorrect scaling calculation for the parts. Option C fails to simplify the expanded numbers to their lowest common integer terms. Option D is incorrect because the correct simplified ratio is present in the options.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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