Question 687127
To solve this word problem, we need it turned into some equations.  


We know what April and Peter had a combined total of 25 eggs.  In equation form, this would be:  A + P = 25, where A is April and P is Peter.


We know that Peter and Marsha had a combined total of 23 eggs.  In equation form, this would be:  P + M = 23, where P is Peter and M is Marsha.


We know that April and Marsha had a combined total of 24 eggs.  In equation form, this would be:  A + M = 24, where A is April and M is Marsha.


We now have 3 equations:


A + P = 25
P + M = 23
A + M = 24


In order to solve, let's first put the first equation in terms of P.  To do this, subtract A from both sides, which gives us P = 25 - A


In the second equation, replace P with what P equals in the first equation.  This gives us:  25 - A + M = 23.  Now let's put this equation in terms of M.  To do this, subtract 25 from both sides, and also add A to both sides, which will give us:  M = 23 - 25 + A, which breaks down to M = A - 2.


Now, in the third equation, replace M with what M equals in our second equation.  This gives us:  A + A - 2 = 24.  This breaks down to 2A - 2 = 24.  We need to solve for A, so we will add 2 to both sides of the equal sign, giving us 2A = 24 + 2, which breaks down to 2A = 26.  Divide both sides of the equal sign by 2 to give us A:  A = 13.


We now know that April has 13 eggs.


If we go back to our first equation, A + P = 25, we can replace the A with 13:  13 + P = 25.  Subtracting 13 from both sides, will give us P:  P = 12.


We now know that Peter has 12 eggs.


Let's go back to the second equation, P + M = 23, and replace the P with 12:  12 + M = 23.  Subtracting 12 from both sides, will give us M:  M = 11


Marsha has 11 eggs.


Final Answer:  April has 13 eggs, Peter has 12 eggs, and Marsha has 11 eggs