Yesterday, a movie theater sold 301 bags of popcorn. a large bag of popcorn costs $3. a small bag of popcorn costs $1. in all, the movie theater made $507 from popcorn sales. write and solve a system of equations to find how many bags of each size of popcorn were sold.

Abag contains 3 red marbles, 2 blue marbles, and 2 green marbles. one marble is picked, then another marble. assume that the selections are made with replacement. a) find the probability of picking two red marbles with replacement. b) find the probability of picking a red marble and a blue marble. assume the selections are made without replacement. c) find the probability of picking two red marbles without replacement. d) find the probability of picking a red marble and a blue marble without replacement.