If x/y = 3/4, what is (2x + y) / (x + 2y)?
A8/9
B10/11
C9/10
D11/12
Explanation
Divide numerator and denominator by y: (2(x/y) + 1) / ((x/y) + 2) = (2(3/4) + 1) / (3/4 + 2) = (3/2 + 1) / (11/4) = (5/2) / (11/4) = (5/2) * (4/11) = 10/11.
Exam Relevance
- Topic: Algebra
- Subtopic: Ratios in Equations
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