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?

Answer 1

`\left \{ {{T+S=925} \atop {4T+6S=4524}} \right. \\ S=925-T \\ 4T+6(925-T)=4524 \\ 4T+5550-6T=4524 \\ -2T+5550=4524 \\ -2T=-1026 \\ T=513`
So they sold 513 turkey sandwiches