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 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.
Question 7 options:

Answer 1

Answer:

513 turkey sandwiches were sold.

Step-by-step explanation:

Let's use $x$ to represent turkey sandwiches and $y$ to represent steak sandwiches.

$x$ = turkey sandwiches

$y$ = steak sandwiches

$x + y = 925$ total sandwiches that were sold

$4x + 6y = 4524$ dollars that were made

$x + y = 925\\y = 925 - x$

Now that we know what $y$ (steak sandwiches) equals, we plug it in to an equation to find $x$.

$4x + 6(925-x) = 4524\\4x + 5550 -6x=4524$

Now, we subtract 5,550 from BOTH sides so we can get x by itself.

$-2x + 5550 - 5550 = 4524 - 5550\\-2x = -1026$

Next, we divide both sides by 2, so x is bare.

$\frac{2x}{2} = \frac{1026}{2}$

$x = 513$

Since x represents turkey sandwiches, we have our answer: 513 turkey sandwiches were sold.

I hope this helps! :)