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CH 6]                             Calculating Business                                 6-11


                     Example:   From Homework 6-2, problems # 29, 30, and 40
                          Problem
                           29.    4a   +    3c     +   2a    -    c   =
             Move value and
             operand, arrange
             in alphabetical
             order; left to right   4a  +   2a     +   3c    -    c   =
             by operand.                                                    Combine Terms,
                                                                            perform arithmetic
                                      6a           +         2c       =     as indicated.

                     Test Solutions: Set values to the variables and solve for the original equation and the solution
                     equation. USE Variable values that are ½ the size variance such as 4 and 8. Solve each following
                     PEMDAS.

                        a = 8, c = 4  RESERVE THE VARIABLES LOW TO HIGH DOUBLING OR    a = 1, b = 2, c = 4
                     With original equation
                           29.    4a   +    3c    +     2a   -    c   =
                  Solution        4(8)  +   3(4)  +     2(8)  - -  4  =


                                                        16
                                                                      =
                                                                  4
                                       +
                                            12
                                                  +
                                  32
                                      44          +     16   -    4   =
                                                 60          -    4   =  56

                     With combined solution
                                  6a   +    2c    =
                                  6(8)  +   2(4)  =
                                  48   +    8     = 56

                           Problem
                            30. 4a    + b    +    2c    +    a   + 3b     =

               Move value and
               operand, arrange in    4a   + a   +  b   +    3b  + 2c     =    Combine Terms,
               alphabetical order; left                                        perform arithmetic
               to right by operand.                                            as indicated.                    6
                                      5a     +          4b       +  2c    =

                     Test Solutions: Set values to the variables and solve for the original equation and the solution
                     equation. USE Variable values that are ½ the size variance such as 4 and 8. Solve each following
                     PEMDAS.         RESERVE THE VARIABLES LOW TO HIGH DOUBLING OR    a = 8, b = 4, c = 2
                 Solution   With original equation   b +  2c  +  a  + 3b   =

                            30. 4a
                                      +
                                 4(8)
                                                  4
                                                        +
                                                                          =
                                                                 + 12
                                                             8
                                           4 +
                                      +
                                 32   +    4 +    2(2)  +    8   + 3(4)  =
                                      36      +   4     +    8   + 12     =
                                              40        +    8   + 12     =
                                                        48       + 12     =  60
                     With combined solution
                             5a + 4b      +    2c   =
                             5(8) +  4(4)  +   2(2) =
                             40  +   16   +    4   =
                                 56       +    4   =   60

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