In a lottery, the top cash prize was $616 million, going to three lucky winners. Players pick five different numbers from 1 to 54 and one number from 1 to 41. A player wins a minimum award of $100 by correctly matching two numbers drawn from the white balls (1 through 54) and matching the number on the gold ball (1 through 41). What is the probability of winning the minimum award?

(50 ) mrs. julien’s and mrs. castillejo’s classes are selling cookie dough for a school fundraiser. customers can buy packages of macadamia nut chip cookie dough and packages of triple chocolate cookie dough. mrs. julien’s class sold 25 packages of macadamia nut chip cookie dough and 30 packages of triple chocolate cookie dough for a total of $221.25. mrs. castillejo’s class sold 5 packages of macadamia nut chip cookie dough and 45 packages of triple chocolate cookie dough for a total of $191.25. (a) write the system of equations that model the problem. be sure to explain which equation represents which situation. (b) find the cost of each type of cookie. show your work. (c) explain which method you used to solve the system and why you chose that method.