SOLUTION: There are 20 children in the cast of a class play, and 8 of the children are boys. Of the boys, 4 have a speaking part in the play, and of the girls, 8 do not have a speaking part

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: There are 20 children in the cast of a class play, and 8 of the children are boys. Of the boys, 4 have a speaking part in the play, and of the girls, 8 do not have a speaking part      Log On


   



Question 1114528: There are 20 children in the cast of a class play, and 8 of the children are boys. Of the boys, 4 have a speaking part in the play, and of the girls, 8 do not have a speaking part in the play. If a child from the cast of the play is chosen at random, what is the probability that the child has a speaking part?

Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


From the given information...

boys: 8 total; 4 with speaking parts, so 4 without
girls: 20-8=12 total; 8 without speaking parts so 4 with

All together: 20 children, 8 with speaking parts

P(child has a speaking part) = 8/20 = 2/5 or 40%.