Sixty girls were scheduled to paint some eggs for the schools annual charity fair. when 3 girls fell sick, the rest of the girls had to paint 8 more eggs each. how many eggs did they have to paint all together?

Let us assume the total number of eggs that each girl had to paint initially = x
Total number of girls that were scheduled to paint the eggs = 60
Number of girls that feel sick = 3
The number of girls that were finally there for painting the eggs = 60 - 3
                                                                                                      = 57
Then we can write the equation as
57(x + 8) = 60x
57x + 456 = 60x
60x - 57x = 456
3x = 456
x = 456/3
   = 152
So it can be seen that each girl had to paint 152 eggs
Then
The total number of eggs the girls had to paint = 60 * 152
                                                                           = 9120
So a total of 9120 eggs had to be painted by the girls.