Page 412 - Math Smart - 7
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We can also express the quantity of each type of item in Evan's refrigerator as
                                     a percentage.

                                                                                                100%
                                                                                              X
                                      I X 100% = 0.25 X 100%        X 100% = 0.1 x 100% |
                                                                                                      =
                                                                                                           X
                                                                                                             100%
                                                                                                       0.4
                                                = 25%                       = 10%                    = 40%
                                     Each part of the pie chart can represent the quantity
                                     of each item as a number, a fraction or a percentage.           Vegetables:
                                                                                                        25%  &
                                                                                                     —
                                                                                                       Meat   W
                                                                                                 Fish  25% ,/
                                                                                                 10% a


                                     This pie chart shows the different types of animals on a farm.
                                     There are 20 chickens on the farm.                      Xchickens

                                                      The data is represented as
                                                      sectors of a circle.                               Cows
                                                      All the sectors combined
                                                      form a complete circle.

                                     a)  What fraction of the animals on the farm are sheep?
                                     b)  What percentage of the animals on the farm are ducks?
                                     c)  How many animals are there on the farm altogether?

                                     Solution

                                                 25
                                     a)  25% =
                                                100
                                              _ 1
                                               4
                                         ^ of the animals on the farm are sheep.

                                     b)  1 X 100% =0.5 X 100%

                                                   = 50%
                                         50% of the animals on the farm are cows.
                                         I X 100% =0.125 X 100%
                                         ®           = 12.50/0
                                         12.5% of the animals on the farm are chickens.
                                         100% - 50% - 12.5% - 25% = 12.5%
                                         12.5% of the animals on the farm are ducks.

                                     c)  1 of the total number of animals are chickens.

                                         1 -»-20
                                         I —►s X 20 = 160

                                         There are 160 animals on the farm altogether.
                                     It is easy to compare data in a pie chart. In this example, we can easily see that the
                                     majority of the animals on the farm are cows, and the least is chickens.



      ^08 UNIT 17
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