If the triangles are similar, then the corresponding ratio of their sides have equal ratios. Through ratio and proportion, we would determine the answer.
5/6 = x/9, where x is the length for side PN
Transposing the equation so that x is on the left side:
D=dimes q=quarters if she has 12 coins then 12-d=q she has 12-d quarters we dont know how much money she has unless we know d. she could have 12 dimes and 0 quarters or 11 dimes and 1 quarter etc. we need more information to solve.