Explain step by step plz.

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 a total of 925 sandwiches. the cafe sold $4524 worth of sandwiches.

how many turkey sandwiches did they sell?

Number of turkey sandwiches sold is 513

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

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

the answer is true.

step-by-step explanation:

109 is the nearest whole number/final answer! : )