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?
Enter your answer in the box.
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Answer 1

Two equtions to solve this problem:
T + S = 925 ➡️ S = -T + 925

4T + 6S = 4524

Substitute S = - T + 925 into 4T + 6S = 4524
4T + 6(-T + 925) = 4524
4T - 6T + 5,550 = 4524
-2T + 5,550 = 4524
-2T = - 1,026
T = 513

Substitute this answer into the first equation.
S = -T + 925
S = -513 + 925
S = 412

They sold 513 turkey sandwiches and 412 steak sandwiches.

Double check: 513 + 412 = 925