Lance and alex have 70 pencils. lance has 4 times as many pencils as alex. alexs pencils are shared equally among 2 children. how many pencils does each child get?

The total number of pencils that Lance and Alex have = 70
Let us assume the number of pencils that Alex has = x
Then
The number of pencils that Lance has = 4x
So, the equation can be written as
x + 4x = 70
5x = 70
x = 70/5
   = 14
So from the above deduction we can say that Alex has a total of 14 pencils. Now the number of pencils that Alex have is divided equally among two children.
Then
The number of pencils that each children has = 14/2
                                                                          = 7
So each child gets 7 pencils.