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one platter has 6 veggie wraps, 12 turkey wraps and costs 64.50 another platter has 8 veggie wraps 8 turkey wraps and costs $56


Which system of equations represents the situation if x represents the cost of a veggie wrap and y represents the cost of a turkey wrap?
A.12x + 6y = 568x + 8y = 64.50
B.6x + 12y = 64.508x + 8y = 56
C.x + 2y = 64.50x + y = 56
D.6x = 64.508y = 56

Respuesta :

ABB3RZ

Answer: $3.25

Step-by-step explanation: The computation of the cost of a veggie wrap is shown below:

Let us assume the veggie strap be x

And the turkey wrap be y

Now the equations are

6x + 12y = $64.50

x + 2y = $10.75

8x + 8y = $56

x + y = 7

Now

x + 2y = $10.75

x + y = $7

y = $3.75

So x = $7 - 3.75

= $3.25

So, the correct option is option (B).

To understand the calculations, check below.

Linear simultaneous equation:

Simultaneous linear equations are the system of two linear equations in two or three variables that are solved together to find a common solution. The simultaneous linear equation is represented as follows:

[tex]a_1x+b_1y=c_1\\a_2x+b_2y=c_2[/tex]

It is given that,

[tex]x[/tex] represents the cost of a veggie wrap and  [tex]y[/tex] represents the cost of a turkey wrap.

Now, using the first part of the given question we get,

[tex]6x+12y=64.50...(1)[/tex]

Again in the second part of the given question is 8 veggies wraps 8 turkey wraps and costs $56 then we get the equation as,

[tex]8x+8y=56...(2)[/tex]

Then from equations (1) and (2) we get the equation as,

[tex]6x+12y=64.50\\8x+8y=56[/tex]

Learn more about the topic of Linear simultaneous equation:

https://brainly.com/question/10700481

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