Algebra , Polynomials

Algebra Level 2

If 25 p + 14 q 5 p + 7 q = 8 3 \frac { 25p+14q }{ 5p+7q } =\frac { 8 }{ 3 } then p : q p:q is

3:1 2:5 2:1 3:5

Ankit Vijay by Ankit Vijay , 22, India

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2 solutions

Ankit Vijay
Jun 3, 2014

p : q = 35 p + 42 q = 40 p + 56 q = 35 p = 14 q = p q = 2 5 p:q\\ \\ \\ =35p+42q=40p+56q\\ \\ \\ =35p=14q\\ \\ \\ =\frac { p }{ q } =\frac { 2 }{ 5 }

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Wait, the problem is 25 p + 14 q 5 p + 7 p = 8 3 \frac{25p + 14q}{5p + 7p} = \frac{8}{3} right?
I got p:q = 2:1

Suradnyana Wisnawa - 7 years ago

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denominator is 5p+7q

Parul Srivastava - 7 years ago
William Isoroku
Aug 2, 2014

Shouldn't it be 5:2?

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