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.