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A group of 3 friends spends a total of $17.25 for brunch at a restaurant before tax and tip. Everyone orders the same thing: scrambled eggs, toast, and orange juice. An order of toast costs $1, and an order of orange juice costs $1.75. Use the distributive property to determine the cost of an order of scrambled eggs. The equation that models the total breakfast bill is . An order of scrambled eggs costs .

Respuesta :

texaschic101
3(1 + 1.75 + x) = 17.25 <== ur equation
3(2.75 + x) = 17.25
8.25 + 3x = 17.25
3x = 17.25 - 8.25
3x = 9
x = 9/3
x = 3 <== scrambled eggs cost $ 3

The linear equation that models the total breakfast bill is  [tex]3(1+1.75+x) = 17.25[/tex].

An order of scrambled eggs costs $3.

What is a linear equation?

"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation."

Given, the total bill is $17.25.

An order of toast costs $1, and an order of orange juice costs $1.75.

Let, an order of scrambled eggs costs $x.

Therefore, for three friends, total bill is

= $[tex]3(1+1.75+x)[/tex]

Now, [tex]3(1+1.75+x) = 17.25[/tex]

⇒ [tex]3(2.75) + 3x = 17.25[/tex]

⇒ [tex]3x = 17.25 - 3(2.75)[/tex]

⇒ [tex]3x = 17.25 - 8.25[/tex]

⇒ [tex]3x = 9[/tex]

⇒ [tex]x = 3[/tex]

Therefore, an order of scrambled eggs costs $3.

Learn more about linear equation here: https://brainly.com/question/26740224

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