Bag A contains \( 9 \) white and \( 8 \) black balls, while bag B contains \( 6 \) white and \( 4 \) black balls. One ball is randomly picked up from the bag B and mixed up with the balls in the bag A. Then a ball is randomly drawn from the bag A. If the probability, that the ball drawn is white, is \( \dfrac{p}{q} \), \( \gcd(p,q)=1 \), then \( p+q \) is equal to:
