Sunday, July 18, 2010

Percentage P6

In a stadium, 20 % of the people are performers for the concert and the rest are spectators. 72 % of the spectators are males and there are 220 more male spectators than female spectators. How many male spectators must leave the stadium so that 37.5 % of the people in the stadium are male spectators?


P                   S
------------------------
20      :       80 = 1 : 4 = 25 : 100
               M        F
               ----------
               72  :   28

72 - 28 = 44
44% --> 220
1% --> 220 ÷ 44 = 5

72% --> 72 x 5 = 360 male spectators

25 + 28 = 53
53% --> 53 x 5 = 265   Before

100 - 37.5 = 62.5

62.5% --> 265       After (number the same, percentage has gone up)


37.5% --> 37.5/62.5 x 265 = 159 male spectators

360 - 159 = 201 male spectators

201 male spectators must leave the stadium.

3 comments:

  1. 20 % of people are performers....

    Does it include male and female?


    Why 25 + 28?

    ReplyDelete
  2. There is a big fruit tree in a garden. It bears fruits at a constant rate everyday. Paul will pick the fruits and sell. Animals will pluck and eat the fruits. 25 men can pick all the fruits in 15 days and 66 animals can eat all the fruits in 10 days. If 1 man can pick twice the number of fruits as 1 animal, find the number of days it take for 10 men to pick and 10 animals to eat all the fruits together.

    ReplyDelete
  3. Is the answer 40 days?

    Where did you get the question from?
    What level (Secondary?) is it for?

    ReplyDelete