Number of turkey sandwiches sold is 513
Solution:
Given that cafe sells turkey sandwiches and steak sandwiches
Let "t" be the number of turkey sandwiches sold
Let "s" be the number of steak sandwiches sold
Cost of 1 turkey sandwiches = $ 4
Cost of 1 steak sandwiches = $ 6
Also given that Last month, the cafe sold a total of 925 sandwiches
So, we can frame a equation as:
number of turkey sandwiches sold + number of steak sandwiches sold = 925
t + s = 925 ---- eqn 1
Also given that cafe sold $4524 worth of sandwiches
So, we can frame a equation as:
number of turkey sandwiches sold x Cost of 1 turkey sandwiches + number of steak sandwiches sold x Cost of 1 steak sandwiches = $ 4524
[tex]t \times 4 + s \times 6 = 4524[/tex]
4t + 6s = 4524 --- eqn 2
Let us solve eqn 1 and eqn 2 to get values of "s" and "t"
Multiply eqn 1 by 4
4t + 4s = 3700 --- eqn 3
Subtract eqn 3 from eqn 2
4t + 6s = 4524
4t + 4s = 3700
( - ) ------------------------
2s = 824
s = 412
Substitute s = 412 in eqn 1
t + s = 925
t + 412 = 925
t = 925 - 412
t = 513
Thus the number of turkey sandwiches sold is 513
