550 is 5% of what number?

Question

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 \(\frac{5}{100}\).
• \(\frac{5 \times 110}{100 \times 110} = \frac{550}{\text{question mark}}\)
• \((100)(110) = 11,000\)