The teacher will add more pizzas to the box. he does not want to change the ratios among the three types of prizes .if he adds 2 more pencils to the box ,how many more bookmarks and how many more posters should he add to the box?

He would add 2 bookmarks and 2 posters to keep the ratio among the three prizes.

That they are numbers and related to each other.

If you need an equation, it would be y=2x+8, y would be how long it grew, x being weeks.if you need how long he was asleep, it would be 4 weeks if he started with no beard, the equation would be x=8÷2if he did have a beard before hand, the equation would be 2w+x=8