To solve the problem "75 percent of what number is 150?", we can set up the equation based on the definition of percentage.
Let \( x \) be the unknown number. The equation can be formulated as:
\[ 0.75x = 150 \]
To find \( x \), we can rewrite it as:
\[ x = \frac{150}{0.75} \]
Now let's evaluate the options provided to find out if any represent the correct equation.
Starting with option analysis:
- The given equations need to be interpreted properly to see if they can lead to a valid setup.
None of the provided equations seem to directly represent \( 0.75x = 150 \) or its equivalent transformation.
By solving for \( x \) in \( 0.75x = 150 \):
\[ x = \frac{150}{0.75} = \frac{150 \times 100}{75} = \frac{15000}{75} = 200 \]
Thus, the answer is 200, but the equations given do not represent the solution process correctly.
To solve your initial problem systematically, simply use:
\[ 0.75 x = 150 \quad \text{(to find "what number")} \]
The equation \( x = \frac{150}{0.75} \) provides the correct approach.
5 answers