Two values maintain a 5:4 proportion with a difference of 10. What is the value of the greater number?
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Answer: B. 50
Explanation
Setting the numbers as five x and four x establishes their proportional relationship cleanly. The difference between five x and four x simplifies directly to a single variable x. Given that x equals ten, multiplying five by ten gives the greater number fifty. Proportions express the relative size of two or more values using a common multiplier. Algebraic substitution allows unknown quantities to be solved using basic linear equations. The greater number in a positive ratio always corresponds to the larger proportional coefficient.
Ratio calculations are essential when scaling ingredient quantities in manufacturing and culinary recipes. Financial analysts use proportional scaling to divide profits among investors based on shares. Architects maintain consistent scale proportions when drafting blueprints for residential and commercial buildings. Option A represents the lesser number four multiplied by ten rather than the greater. Option C is incorrect because it uses a multiplier larger than the given difference. Option D represents the lesser number resulting from multiplying four by the variable ten.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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