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?

0

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

2. They sold 513 turkey sandwiches!

Hope this helps!