Question 788735
A for number of Apples
N for number of Oranges (as in "naranjas").


A+N=12, total of 12 pieces of fruit.


Price for orange is y, units of CENTS.  Price for apple is x.
x=3+y in units of CENTS.
ACCOUNTING for the cost, x*A+y*N=99;
{{{(3+y)A+Ny=99}}}
{{{3A+Ay+Ny=99}}}
{{{3A+(A+N)y=99}}}
{{{(A+N)y=99-3A}}}
{{{y=(99-3A)/(A+N)}}}-----Use this to check the possible combinations for A and B.


We are given the restriction, {{{A>N}}} and we must have A and N as WHOLE numbers.  We can check a few possible values for A and N, starting with A=7 & B=5 and continue checking, finding y for each pair of A and B, and reject any value of y that does not make sense.