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

513 turkey sandwiches were sold.

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.

`(2x)/(2) = (1026)/(2)`

`x = 513`

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

I hope this helps! :)