Sixteen is 5% of which number?

Sixteen is 5% of which number?

• A. 160
• B. 240
• C. 300
• D. 320

Answer: (D)

To determine which number 16 is 5% of, you can set up the equation where 5% of some number \( x \) equals 16. This can be represented mathematically as: \[ 0.05 \times x = 16 \] To solve for \( x \), you can rearrange the equation: \[ x = \frac{16}{0.05} \] Calculating this gives: \[ x = 16 \div 0.05 \] To perform the division, it helps to simplify 0.05 as a fraction: \[ 0.05 = \frac{5}{100} = \frac{1}{20} \] So dividing by 0.05 is the same as multiplying by 20: \[ x = 16 \times 20 = 320 \] Thus, 16 is 5% of 320. The correct answer is 320 because it directly satisfies the condition established by the problem, confirming that when you take 5% of 320, you indeed arrive at 16. This calculation directly checks out through multiplication: \[ 5\% \text{ of } 320 = 0.05 \times 320 =

To determine which number 16 is 5% of, you can set up the equation where 5% of some number ( x ) equals 16. This can be represented mathematically as:

[ 0.05 \times x = 16 ]

To solve for ( x ), you can rearrange the equation:

[ x = \frac{16}{0.05} ]

Calculating this gives:

[ x = 16 \div 0.05 ]

To perform the division, it helps to simplify 0.05 as a fraction:

[ 0.05 = \frac{5}{100} = \frac{1}{20} ]

So dividing by 0.05 is the same as multiplying by 20:

[ x = 16 \times 20 = 320 ]

Thus, 16 is 5% of 320.

The correct answer is 320 because it directly satisfies the condition established by the problem, confirming that when you take 5% of 320, you indeed arrive at 16. This calculation directly checks out through multiplication:

[ 5% \text{ of } 320 = 0.05 \times 320 =