Question

Which equation can be used to solve the problem?

75 percent of what number is 150?
StartFraction 75 times 1 Over 150 times 1 EndFraction = StartFraction 75 Over 150 EndFraction
StartFraction 150 times 2 Over 75 times 2 EndFraction = StartFraction 300 Over 150 EndFraction
StartFraction 200 times 2 Over 75 times 2 EndFraction = StartFraction 400 Over 150 EndFraction
StartFraction 75 times 2 Over 100 times 2 EndFraction = StartFraction 150 Over 200 EndFraction

Answer 1

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.