A cafe only sells two types of sandwiches, turkey and steak. The cafe charges $4 for turkey sandwiches and $6 for steak sandwiches. Last mon

Question

A cafe only sells two types of sandwiches, turkey and steak. The cafe charges $4 for turkey sandwiches and $6 for steak sandwiches. Last month, the cafe sold $4524 worth of sandwiches. The cafe sold a total of 925 sandwiches.

How many turkey sandwiches did they sell?

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Answers ( No )

    0
    2022-01-11T22:10:42+00:00

    Answer:

    They sold a total of 513 turkey sandwiches

    Step-by-step explanation:

    This is a question on simultaneous equation

    Let the number of steak sandwiches  = S

    Let the number of turkey sandwiches = T

                                                      T +  S   = 925                    (Equation 1)

                                                 4 T + 6 S   = 4,524                 (Equation 2)

    Using substitution method to solve the simultaneous equation

                      From Equation 1      T +  S   = 925

                                                               T  = 925 – S

    Substitute 925 – S for T in equation 2

                                     4 (925 – S) + 6 S   = 4,524

                                    3,700 – 4 S + 6 S   = 4,524

                                               3,700 + 2 S = 4,524

    Subtract 3,700 from both sides

                                3,700 – 3,700 + 2 S   = 4,524 – 3,700

                                                           2 S   = 824

    Divide both sides by the coefficient of S (i.e. 2)

                                                     (2 S)/2   = 824/2

                                                              S   = 412

    Substitute 412 for S in equation 1

                                                      T +  S   = 925

                                                   T +  412   = 925

    Subtract 412 from both sides

                                          T +  412 – 412   = 925 – 412

                                                             T    = 513

    That is, the cafe sold 513 turkey sandwiches and 412 of steak sandwiches

    Checks for (Equation 1):

                                                      T +  S   = 925                    (Equation 1)

                                               513 +  412   = 925                    (Equation 1)

    Checks for (Equation 2):

                                                 4 T + 6 S   = 4,524                 (Equation 2)

                                      4 (513) + 6 (412)   = 4,524                 (Equation 2)

                                         2,052 + 2,472  = 4524

    0
    2022-01-11T22:10:56+00:00

    They sold 513 turkey sandwiches!

    Hope this helps!

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