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BRAINLYIST AND 10 POINTS 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?

Write a system of equations and SOLVE for turkey!

SHOW your work.

2 points for writing the equations

2 points for showing your work

2 points for figuring out how many turkey sandwiches were sold.

Answer :

absor201

513 Turkey sandwiches were sold.

Step-by-step explanation:

Total worth of sold sandwiches = $4524

No. of sandwiches sold = 925

Cost of one turkey sandwich = $4

Cost of one steak sandwich = $6

Let,

x be the number of turkeys sold.

y be the number of steaks sold.

According to given statement;

x+y=925    Eqn 1

4x+6y=4524   Eqn 2

Multiplying Eqn 1 by 6;

[tex]6(x+y=925)\\6x+6y=5550\ \ \ Eqn\ 3\\[/tex]

Subtracting Eqn 2 from Eqn 3;

[tex](6x+6y)-(4x+6y)=5550-4524\\6x+6y-4x-6y=1026\\2x=1026[/tex]

Dividing both sides by 2;

[tex]\frac{2x}{2}=\frac{1026}{2}\\x=513[/tex]

513 Turkey sandwiches were sold.

Keywords: linear equations, elimination method

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