+128475 First one
a) 1/2 of the circle show the people over 60
So (1/2) ( 180) = 90
b ) cannot be answered unless we know the central angle of the 25 - 60 sector !!!
+128475 Second one - a little tricky
We know that 3960 more women voted than men
Note that the angle of the sector occupied by women = 360 -125 = 235°
Let x be the number of men who voted
Then x + 3960 = the number of women who voted
So...we can set up this proportion
x/ 125 = (x + 3960) / 235 cross-multiply
235 x = 125 ( x + 3960) simplify
235 x = 125x + 495000
235x - 125x = 495000
110x = 495000
x = 495000 / 110 = 4500
Total number of voters =
x + ( x + 3960) =
4500 + (4500 + 3960) =
12960
+128475 Last one
Here again, we have a problem....we can only answer the "walk" and "bus" categories......we would have to know the central angles of the "bike" and "car" sectors to answer these......your teacher should recognize this !!!
Walk = ( 120 /360) * 60 = (1/3) * 60 = 20
Bus = (90 / 360) * 60 = (1/4) * 60 = 15
All we can say is that 60 - 20 - 15 = 25 total students ride their bikes or take a car
