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
