Page 191 - Math Course 1 (Book 1)
P. 191

Percent Proportion




                                                                  Find the Part


                                                                   Examples
                 What percent of 8 is 12?

                 Twelve is being compared to 8. So, 12 is the part
                 and 8 is the whole. Let n represent the percent.   What number is 8.8% of 20?

                                                                    The percent is 8.8, and the whole is 20. Let n
                                                                    represent the part.
                     12      n     Write the percent proportion.
                         =
                     8      100
                 12 • 100 = 8 • n  Find the cross products.             n      8.8   Write the percent proportion.
                                                                            =
                                                                        20    100
                    1200 = 8n      Simplify
                   1200      8n                                     n • 100 = 20 • 8.8 Find the cross products.
                         =         Divide each side by 8.
                     8        8
                                                                      100n =176      Simplify
                      150 = n      Simplify.
                                                                         n = 1.76    Mentally divide each side by
                                                                                     100.
                   Answer       150% of 8 is 12.


                                                                     Answer       8.8% of 20 is 1.76.


                Find the Whole                                    Apply the Percent Proportion


                 Examples                                          TENNIS

                                                                   From the years 1999 through 2005, Serena Williams
                                                                   won the U.S. Open Tennis Championships two
                 Seventy is 28% of what number?                    times and Wimbledon two times. What percent of
                                                                   both tournaments combined during those years
                 The percent is 28%, and the part is 70. Let n     was Serena Williams the women’s champion?
                 represent the whole.                              Round to the nearest tenth.



                     70      28
                         =         Write the percent proportion.
                      n     100

                 70 • 100 = n • 28  Find the cross products.
                    7000 = 28n     Simplify
                    7000     28n
                          =        Divide each side by 28.
                     28       28

                      250 = n      Simplify.                       Compare the number of Serena Williams’ wins, 4,
                                                                   to the total number of tournaments played, 14. The
                                                                   part is 4 and the whole is 14. Let n represent the
                                                                   percent.
                   Answer       70 is 28% of 250.










                                                                                                                 183
   186   187   188   189   190   191   192   193   194   195   196