jayblockman4
contestada

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?

Enter your answer in the box.

Respuesta :

EmoPotatoQueen
They sold 513 turkey sandwiches!

Hope this helps!
Abotaiwo

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

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