Answer:

1st child: ₱100

2nd child: ₱200

3rd child: ₱250

Step-by-step explanation:

Let x be the value of the amount distributed to the three children

₱550 = 2x+4x+5x

₱550 = 11x

 ₱50 = x

1st child: 2x

              2x = 2(₱50)

                   = ₱100

2nd child: 4x

               4x = 4(₱50)

                    = ₱200

3rd child: 5x

               5x = 5(₱50)

                    = ₱250

checking:

2x + 4x + 5x = ₱550

2(₱50) + 4(₱50) + 5(₱50) = ₱550

₱100 + ₱ 200 + ₱250 = ₱550

                          ₱550 = ₱550