If $a, b, c, x, y, z$ are real numbers and $a^2+b^2+c^2 = 49$, $x^2+y^2+z^2 = 64$ & $ax+by+cz = 56$, then $\dfrac{a+b+c}{x+y+z}$ can be expressed in the form of $\dfrac{p}{q}$, where $p$ and $q$ are coprime. What is the value of $p+q$?