hamburger buns come in packages of 8. hamburger patties come in packages of 10.

neil would like to buy the smallest number of hamburger buns and hamburger patties so that he will have exactly one hamburger patty per bun.

a. to figure out how many packs of buns and patties to buy, would you use gcf or lcm?

b. explain why you chose the answer you did for part a (in other words, how did you decide? )

stating "i just know" is not an explanation. give mathematical support for the answer you give.

c. how many packages of hamburger buns and hamburger patties must he buy? (label which number is for buns and which number is for patties)

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.