Question

Set up a proportion and use cross multiplication to solve.

100 is 250% of
.

Answer 1

To set up a proportion for the statement "100 is 250% of _____," we can represent it mathematically as follows:

Let \( x \) be the value we are trying to find. The statement can be converted into the proportion:

\[
100 = 250\% \times x
\]

Since 250% can be converted into a decimal form, we get:

\[
250\% = \frac{250}{100} = 2.5
\]

Now, we rewrite our equation:

\[
100 = 2.5 \times x
\]

To solve for \( x \), we can set up the proportion as:

\[
\frac{100}{x} = \frac{250\%}{100}
\]

Cross-multiplying gives:

\[
100 \cdot 100 = 250 \cdot x
\]

This simplifies to:

\[
10000 = 250x
\]

Now, solving for \( x \):

\[
x = \frac{10000}{250}
\]

Calculating the right side:

\[
x = 40
\]

So, 100 is 250% of **40**.