34 is 85% of what number?
Understand the Problem
The question is asking us to find a number such that when you take 85% of it, the result is 34. This can be approached by setting up the equation 0.85 * X = 34 and solving for X.
Answer
$X = 40$
Answer for screen readers
The value of the number is $X = 40$.
Steps to Solve
- Set up the equation
We begin with the equation that represents the problem, which is:
$$ 0.85X = 34 $$
- Isolate the variable
To find the value of $X$, we need to isolate it. We can do this by dividing both sides of the equation by 0.85:
$$ X = \frac{34}{0.85} $$
- Calculate the value
Now we perform the calculation:
$$ X = \frac{34}{0.85} \approx 40 $$
- State the final answer
We have found the value of $X$.
The value of the number is $X = 40$.
More Information
If you take 85% of 40, you will indeed get 34, as $0.85 \times 40 = 34$. This shows how percentages can be converted into equations to find unknowns.
Tips
- A common mistake is forgetting to divide both sides of the equation by 0.85, which would lead to an incorrect solution. Always remember to isolate the variable properly.
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