Netan surveyed 460 teenagers to find out their favorite type of movie. he found that 45% of the teenagers surveyed like comedies.

part a: how many teenagers surveyed like comedies? show your work. (4 points)

part b: in another survey, hannah found that 50% of the total number of teenagers surveyed like thrillers. if 40 teenagers like thrillers, what is the total number of teenagers that hannah surveyed? show your work. (4 points)

part c: give an example of a situation in which a percentage is greater than 100%. (2 points)

Arrange the steps to solve this system of linear equations in the correct sequence. x + y = -2 2x – 3y = -9 tiles subtract 3x + 3y = -6 (obtained in step 1) from 2x – 3y = -9 (given) to solve for x. substitute the value of x in the first equation (x + y = -2) to get y = 1. the solution for the system of equations is (-3, 1). x = -15 the solution for the system of equations is (-15, 13). add 3x + 3y = -6 (obtained in step 1) to 2x – 3y = -9 (given), and solve for x. x = -3 substitute the value of x in the first equation (x + y = -2) to get y = 13. multiply the first equation by 3: 3(x + y) = 3(-2) 3x + 3y = -6.