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Q. 55

Expert-verified

Found in: Page 112

Book edition Middle English Edition

Author(s) Carter

Pages 804 pages

ISBN 9780079039903

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Short Answer

$\frac{1}{4} (p - 7) = \frac{1}{3} (p + 5)$

The value of $p = - 41$

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Step 1 - The given information

$\frac{1}{4} (p - 7) = \frac{1}{3} (p + 5)$

Step 2

$\frac{1}{4} (p - 7) = \frac{1}{3} (p + 5) \Rightarrow \frac{p}{4} - \frac{7}{4} = \frac{p}{3} + \frac{5}{3} \Rightarrow \frac{p}{4} - \frac{p}{3} = \frac{5}{3} + \frac{7}{4} \Rightarrow \frac{3 p - 4 p}{12} = \frac{20 + 21}{12} \Rightarrow - \frac{p}{12} = \frac{41}{12} \Rightarrow p = - 41$

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$\frac{1}{4} (p - 7) = \frac{1}{3} (p + 5)$