standard_description: Know and apply the Binomial Theorem for the expansion of (x + y)^(n )in powers of x and y for a positive integer n, where x and y are any numbers, with coefficients determined for example by Pascal’s Triangle. (The Binomial Theorem can be proved by mathematical induction or by a combinatorial argument.)
problem_activity: Task
Dennis and Cody are building a castle out of plastic building blocks. They will need $2\frac12$ buckets of blocks for the castle they have in mind. Dennis used to have two full buckets of blocks but lost some and now has $1\frac34$ buckets. Cody used to have two full buckets of blocks too, but now has $1\frac14$ buckets. If Dennis and Cody combine their buckets of blocks, will they have enough to build their castle?


aligns: no