A survey of 500 high school students was taken to determine their favorite chocolate candy. Of the 500 students surveyed, 105 like Snickers, 129 like Twix, 136 like Reese's Peanut Butter Cups, 25 like Snickers and Twix, 57 like Twix and Reese's Peanut Butter Cups, 71 like Snickers and Reese's Peanut Butter Cups, and 11 like all three kinds of chocolate candy. How many students like Twix and Reese's Peanut Butter Cups only

The school track has eight lanes. each lane is 1.25 meters wide. the arc at each end of the track is 180. the distance of the home straight and the radii for the arcs in the 1st 4 lanes are given. s=85m r1=36.5m r2=37.75m r3=39m r4=40.25m part one: find the radii of lanes 5 through 8 of the track. show your work. part two: if max ran around lane one, how far did he run? show your work and explain your solution. part three: max wants to run a total of three laps around the track, choose two additional lanes (2-8) for him to run and find the distance around those two lanes. show your work and round to the hundredths. part 4: based on your lane choices in part three, what was the total distance max ran in the three laps around the track?