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
- 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:
$$ 10 = 0.25 \cdot x $$
- 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:
$$ x = \frac{10}{0.25} $$
- 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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