Question

550 is 5% of what number?

Which statements are correct? Check all that apply.

The answer will be smaller than 550.
The answer will be larger than 550.
Write a ratio equivalent to StartFraction 5 Over 100 EndFraction.
StartFraction 5 times 110 Over 100 times 110 EndFraction = StartFraction 550 Over question mark EndFraction
(100)(110) = 11,000

Answer 1

To determine what number 550 is 5% of, we can set up the equation based on the definition of percentage:

\[
550 = 0.05 \times x
\]

To find \( x \), we can rearrange the equation:

\[
x = \frac{550}{0.05}
\]

Calculating this gives:

\[
x = 550 \div 0.05 = 550 \times 20 = 11,000
\]

So, 550 is 5% of **11,000**.

Now, let's evaluate the statements you provided:

1. **The answer will be smaller than 550.**
- **Incorrect.** The answer is 11,000, which is larger than 550.

2. **The answer will be larger than 550.**
- **Correct.** The answer is 11,000, which is indeed larger than 550.

3. **Write a ratio equivalent to \(\frac{5}{100}\).**
- **Correct.** An equivalent ratio can be expressed in many forms, such as \(\frac{1}{20}\), \(\frac{10}{200}\), or any multiple thereof.

4. **\(\frac{5 \times 110}{100 \times 110} = \frac{550}{\text{question mark}}\)**
- **Correct.** This expression is just a way to express the same relationship and simplifies to \(\frac{550}{11000}\).

5. **\((100)(110) = 11,000\)**
- **Correct.** This calculation is also accurate since \(100 \times 110 = 11,000\).

So the correct statements are:

- The answer will be larger than 550.
- Write a ratio equivalent to \(\frac{5}{100}\).
- \(\frac{5 \times 110}{100 \times 110} = \frac{550}{\text{question mark}}\)
- \((100)(110) = 11,000\)