Answer :
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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