Solve for x given 2x:25 = 6:(x/3)
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Answer: B. 15
Explanation
The given proportion equates two ratios involving the unknown variable x across both sides. Cross multiplying the terms of the algebraic proportion yields an equation solvable for x. Simplifying the resulting algebraic expression isolates the variable and confirms the value fifteen. Proportions state that two ratios are equal, allowing solutions through cross multiplication techniques. Algebraic simplification requires combining like terms and isolating the unknown variable on one side. Checking solved values by substituting them back into the original proportion verifies correctness.
Algebraic proportion solving is fundamental for scaling recipes, chemical concentrations, and geometric models. Engineering calculations use proportional equations to scale physical dimensions across design blueprints. Financial models apply ratio and proportion formulas to forecast asset valuations under changing conditions. Option A overestimates the value of x by miscalculating the cross multiplication reduction steps. Option C underestimates the variable value and fails to satisfy the initial proportion equation. Option D represents a lower number that does not balance the algebraic ratio equivalence.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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