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Twelve more than one-fifth of a number is 7.

Sagot :

Answer: 25 or 15

Step-by-step explanation:

The easiest way to do this is by making an equation. But before that, let us look at this in more detail.

"Twelve more than one-fifth of a number is 7."

We can define "more" as added or addition. So let us put that in our equation.

[tex]12 \:+[/tex]

Next, we have "one-fifth", which is

[tex]\frac{1}{5} \\\\12+ \frac{1}{5}[/tex]

Lastly, we have " a number". Here is the tricky part. We need to input a variable.

Let us put "[tex]x[/tex]" right next to one-fifth since it is one-fifth of a number.

[tex]12+ \frac{1}{5}x=7[/tex]

Now that we have our equation, we can solve for [tex]x[/tex]

[tex]12+ \frac{1}{5}x=7[/tex]

Subtract 12 from both sides of the equation. (You don't need to add a positive sign, but it doesn't change anything.)

[tex]+12+ \frac{1}{5}x=+7\\-12\:\:\:\:\:\:\:\:\:\:\:\:-12\\[/tex]

  • Simplify

[tex]7-12=-5[/tex]

Multiply both sides by 5

[tex]5\cdot \frac{1}{5}x=5\left(-5\right)[/tex]

[tex]x=-25[/tex]

Therefore, the number is 25. To check, just solve as the question says.

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