<PRE><B>Question 1143524</B>
&lt;br&gt;
There are many ways to solve the problem using algebra.  Here is an outline of one of them (not necessarily the best).&lt;br&gt;
Let the number of cartons be x and the price of each carton be y.  Then&lt;br&gt;
{{{xy = 112}}}
{{{(x-2)(y+1) = 112}}}&lt;br&gt;
Since both expressions are equal to 112, set them equal to each other and simplify:&lt;br&gt;
{{{xy = (x-2)(y+1)}}}
{{{xy = xy+x-2y-2}}}
{{{x = 2y+2}}}&lt;br&gt;
Substitute that expression for x in the first equation:&lt;br&gt;
{{{(2y+2)y = 112}}}&lt;br&gt;
Solve for y and then use that value to determine the value of x.&lt;br&gt;
By far the easiest way to solve the problem is simply to play with numbers:&lt;br&gt;
112 = 16*7
112 = 14*8&lt;br&gt;
Those pairs of numbers satisfy the conditions of the problem:
16 cartons of eggs for $7 each;
14 cartons of eggs for $8 each</PRE>