Question

If 25p + 14q / 5p + 7q = 8/3, then find p : q.​

Answer 1

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Answer 2

The ratio of p to q is p:q is 2:5.

Step-by-step explanation:

Since we have given that

$\dfrac{25p+14q}{5p+7q}=\dfrac{8}{3}\\\\3(25p+14q)=8(5p+7q)\\\\75p+42q=40p+56q\\\\75p-40p=56q-42q\\\\35p=14q\\\\\dfrac{p}{q}=\dfrac{14}{35}=\dfrac{2}{5}$

So, the ratio of p to q is p:q is 2:5.

# learn more:

If p and q are two positive integer such that p=14q then find hcf of p and q

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