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10 is 25% of what number?

Understand the Problem

The question is asking to find a number such that 10 is equal to 25% of it. To solve this, we can set up the equation 10 = 0.25 * x, where x is the unknown number. We will then solve for x.

Answer

$40$
Answer for screen readers

The answer is $40$.

Steps to Solve

  1. Set up the equation

We start with the equation based on the problem statement. We know that 10 is equal to 25% of some number, which we will call $x$. We can write this as:

$$ 10 = 0.25 \cdot x $$

  1. Isolate the variable

To find $x$, we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 0.25:

$$ x = \frac{10}{0.25} $$

  1. Calculate the value of x

Now we carry out the division:

$$ x = \frac{10}{0.25} = 10 \div 0.25 $$

To perform this division, we can convert the division by a fraction into multiplication:

$$ 10 \div 0.25 = 10 \cdot 4 = 40 $$

Therefore, we find that:

$$ x = 40 $$

The answer is $40$.

More Information

The number we are looking for, which 25% equals 10, is $40$. This means that if you take 25% of $40$, you will indeed get $10$.

Tips

  • Miscalculating the division: A common mistake is inaccurately dividing by 0.25. Remember, dividing by a fraction is the same as multiplying by its reciprocal.
  • Confusing percentages: Sometimes, people confuse percentages and might think that $10$ is 25% of a smaller or larger number. It's crucial to correctly understand and set up the equation.
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