If A/B = 5 and B/C = 2, what is the value of A/(B+C)?

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Master the Certify Teacher EC-6 (391) Mathematics Test. Use flashcards and multiple choice questions with explanations. Boost your confidence and excel in your exam!

Multiple Choice

If A/B = 5 and B/C = 2, what is the value of A/(B+C)?

Explanation:
Think in terms of proportional relationships. From A over B equals 5, A is 5 times B, so A = 5B. From B over C equals 2, B is 2 times C, so C = B/2. Now substitute into A divided by (B plus C): A/(B+C) becomes (5B) / (B + B/2). The denominator is B + B/2 = 3B/2. So the expression is (5B) / (3B/2) = 5B × (2/3B) = 10/3. The B cancels, leaving 10/3.

Think in terms of proportional relationships. From A over B equals 5, A is 5 times B, so A = 5B. From B over C equals 2, B is 2 times C, so C = B/2. Now substitute into A divided by (B plus C): A/(B+C) becomes (5B) / (B + B/2). The denominator is B + B/2 = 3B/2. So the expression is (5B) / (3B/2) = 5B × (2/3B) = 10/3. The B cancels, leaving 10/3.

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