Question 1104261
<pre>
SHEEP   PRICE SELL   REVENUE    IF SWITCHED PRICES
A         a           Aa          Ab=3200
B         b           Bb          Ba=2450
30

As sold, Aa=Bb
</pre>

The description analyzed and tabulated gives four unknown variables and four equations.


{{{system(A+B=30,Aa=Bb,Ab=3200,Ba=2450)}}} for sheep counts A and B, corresponding to how many each person had, and a and b, the prices at which each sold sheep.


Last two equations give {{{b=3200/A}}}, and {{{a=2450/B}}}.
Substitute into the Equal Revenue equation, and then simplify, gives  
{{{A^2=(64/49)B^2}}}.


Revised system of equations just in A and B can be 
{{{system(A+B=30,A^2=(64/49)B^2)}}}--------Solve the system.