Using only addition and subtraction Alan has 41 stickers. His brother has 19 stickers. Alan wants to share his stickers so that they both have the same number. How many stickers should he share? Explain your thinking.

he should share 11 tickets

Step-by-step explanation:

Since Alan has more tickets he transfers a quantity "x" to his brother.

Now Alan has = 41 stickers - "x" stickers that he borrowed

And his brother has now = 19 stickers + "x" stickers that he received from Alan

Since now they have the same number of tickets

Tickets that has Alan = Tickets that has this brother

41 - x = 19 + x

summing x in both sides

41 - x + x = 19 + x + x

41 - 0 = 19 + 2*x

subtracting 19

41 - 19 = 2*x

dividing by 2

22 / 2 = 2*x / 2

x = 22/2 = 11

so both will have 30 tickets