Question 738958
What we really want to know, or find, are the prices for oranges grapefruits.

n = dollars per orange
g = dollars per grapefruit

We know that "dozen" means 12.


Analyze the description:


Six grapefruits cost as much as ten oranges. 
{{{6*g=10*n}}}


The cost of a dozen grapefruit and two dozen oranges is 33$.
{{{12*g+24*n=33}}}


The system is the set of those two equations,
{{{6*g=10*n}}} AND {{{12*g+24*n=33}}}.
Solve the system for g and n.  Remember, these are in dollars per fruit, and you were asked for CENTS per ORANGE.  You are REALLY looking for n.


METHOD:
What you could do is solve one of the equations for g, substitute this into the other equation, and then solve for n.  Compute and simplify; and you will have your answer.