Answered

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 :

cinnamoonroll

Answer:

513 turkey sandwiches were sold.

Step-by-step explanation:

Let's use [tex]x[/tex] to represent turkey sandwiches and [tex]y[/tex] to represent steak sandwiches.

[tex]x[/tex] = turkey sandwiches

[tex]y[/tex] = steak sandwiches

[tex]x + y = 925[/tex] total sandwiches that were sold

[tex]4x + 6y = 4524[/tex] dollars that were made

[tex]x + y = 925\\y = 925 - x[/tex]

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

[tex]4x + 6(925-x) = 4524\\4x + 5550 -6x=4524\\[/tex]

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

[tex]-2x + 5550 - 5550 = 4524 - 5550\\-2x = -1026[/tex]

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

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

[tex]x = 513[/tex]

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

I hope this helps! :)

Other Questions