Question

Juana can use the expression 64 divided by 4 to determine
4% of 64.
10% of 64.
25% of 64.
50% of 64.

Answer 1

Let's determine how Juana can use the expression \(64 \div 4\) to find each of the percentages of 64.

1. **4% of 64**:
To find 4% of 64, calculate:
\[
4\% \text{ of } 64 = \frac{4}{100} \times 64 = 0.04 \times 64 = 2.56.
\]
We can express it using \(64 \div 4\) since 4% is equivalent to \(1/25\) of 64, and \(64 \div 25 = 2.56\).

2. **10% of 64**:
To find 10% of 64, calculate:
\[
10\% \text{ of } 64 = \frac{10}{100} \times 64 = 0.1 \times 64 = 6.4.
\]
\(64 \div 10\) would give 6.4, so we cannot use \(64 \div 4\) for this.

3. **25% of 64**:
To find 25% of 64, calculate:
\[
25\% \text{ of } 64 = \frac{25}{100} \times 64 = 0.25 \times 64 = 16.
\]
This can be derived as \(64 \div 4 = 16\), so Juana can use \(64 \div 4\) for this.

4. **50% of 64**:
To find 50% of 64, calculate:
\[
50\% \text{ of } 64 = \frac{50}{100} \times 64 = 0.5 \times 64 = 32.
\]
This can be related to \(64 \div 2\), so we cannot use \(64 \div 4\) for this.

In summary:
- Juana can use \(64 \div 4\) to determine **25%** of 64.
- She cannot use it for 4%, 10%, or 50%, based on the divisions.

The correct answers are:
- **4% of 64**: \(64 \div 25\) (not \(64 \div 4\)).
- **10% of 64**: Not applicable using \(64 \div 4\).
- **25% of 64**: \(64 \div 4 = 16\).
- **50% of 64**: Not applicable using \(64 \div 4\).