If 2/3 of P = 6/7 of Q, then what is Р: Q? (A) 9: 7 (B) 9: 5 (C) 7: 5 (D) 5:7

If 2/3 of P = 6/7 of Q, then what is Р: Q? (A) 9: 7 (B) 9: 5 (C) 7: 5 (D) 5:7

Let’s denote P as \(p\) and Q as \(q\). The given equation is:

\[\frac{2}{3} \cdot p = \frac{6}{7} \cdot q\]

Now, let’s solve for the ratio \(\frac{p}{q}\):

Multiply both sides by \(\frac{3}{2}\) to isolate \(p\):

\[p = \frac{3}{2} \cdot \frac{6}{7} \cdot q\]

Simplify:

\[p = \frac{9}{7} \cdot q\]

Now, the ratio of \(p\) to \(q\) is \(\frac{p}{q} = \frac{9}{7}\).

So, the correct answer is (A) 9:7.

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