Sarah has two similar regular pyramids with pentagon-shaped bases. The smaller has a scale factor of 2:3 when compared to the larger. Only the smaller pyramid is

shown.

She calculates the area of the base of the pyramid (through long, hard work) to be

110.11 square units. The height of the pyramid is 12 units. Now she needs to

calculate the volume of the pyramid.

(a) Calculate the volume of the pyramid for Sarah.

(b) "Oh, no!" Sarah exclaims. "Now I have to go through all this hard work again to

find the volume of the larger pyramid!" Does she? Explain.

(c) Calculate the volume of the larger pyramid for Sarah.

(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.