Respuesta :

vkaushik20

Answer:

[tex]\Huge \boxed{\boxed{x = 2}}[/tex]

Step-by-step explanation:

Let [tex]x[/tex] be the number that Alice started with. We can set up the following equation to represent the situation:

[tex]5(11 - x) = 45[/tex]

To solve for [tex]x[/tex], first divide both sides of the equation by 5:

  • [tex]\frac{5(11 - x)}{5} = \frac{45}{5}[/tex]
  • [tex]11 - x = 9[/tex]

Now, add [tex]x[/tex] to both sides of the equation:

  • [tex]11 - x + x = 9 + x[/tex]
  • [tex]11 = 9 - x[/tex]

Subtract 9 from both sides:

  • [tex]11 - 9 = 9 + x - 9[/tex]
  • [tex]2 = x[/tex]

So, the number that Alice started with was 2.

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EmergerOrpheus

Answer:

Alice started with the number 2.

Step-by-step explanation:

Let's call the number that Alice started with [tex]x[/tex].

According to the problem, Alice first subtracts [tex]x[/tex] from [tex]11[/tex]:

[tex]\large\qquad\qquad\qquad{11 - x}[/tex]

She then multiplies this result by 5 to get 45:

[tex]\large\qquad\quad{5(11 - x) = 45}[/tex]

Simplifying the equation, we have:

[tex]\large\qquad\quad{55 - 5x = 45}[/tex]

Subtracting 55 from both sides, we get:

[tex]\large\qquad\qquad{-5x = -10}[/tex]

Dividing both sides by -5, we get:

[tex]\large\qquad\qquad\boxed{\boxed{\bold{\:\:x = 2\:\:}}} [/tex]

[tex]\therefore[/tex] Alice started with the number 2.

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