Katie and mina both commute to work. katie's commute on the train takes 10 minutes more than one half as many minutes as mina's commute by car. it takes katie 30 minutes to get to work. write an equation to determine how many minutes it takes mina to get to work.

30 = one halfx + 10
30 = one halfx − 10
30 = 2x − 10
30 = 2x + 10

Sophia wrote an equation to represent the revenue of a movie theater for one day. she let x represent the number of child tickets sold and y represents the nunver of adult tickets sold. if a child ticket cost $4, an adult ticket cost $6, and the total revenue for the daybwas $420, which equation could sophia use to represent the number of chikd and adult tickets that were sold?