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Solve for A/P given (A+P)/(A-P)=9/2
Published on August 27, 2024
Algebra
This math problem involves solving for the ratio A/P given the equation (A+P)/(A-P) = 9/2. The solution involves cross-multiplication, rearranging terms, and expressing A in terms of P to find the value of A/P, which is 11/7.
Question
Answer
Let’s solve this problem step by step:
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We are given two equations:
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Our goal is to find the value of
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Let’s start with the first equation. We can cross-multiply:
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Expanding this:
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Rearranging terms:
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Dividing both sides by -7:
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Now we have expressed A in terms of P. Let’s use this to find
:
Therefore, the value of