Question

A grid model with 100 squares. 5 squares are shaded.

Select the values that make the statement true.
StartFraction n Over 100 EndFraction = StartFraction 1 Over d EndFraction = p%

n =
d =
p =

Answer 1

To solve the problem, we need to relate the shaded squares to the total number of squares in the grid. Here’s the breakdown:

1. **Total number of squares**: 100
2. **Number of shaded squares**: 5

### Finding \( n \), \( d \), and \( p \)

1. **Finding \( n \)**:
- Since \( n \) represents the number of shaded squares, we have:
\[
n = 5
\]

2. **Finding \( d \)**:
- The fraction \( \frac{n}{100} = \frac{1}{d} \) can be set up as follows:
\[
\frac{5}{100} = \frac{1}{d}
\]
- Cross-multiplying to find \( d \):
\[
5d = 100 \implies d = \frac{100}{5} = 20
\]

3. **Finding \( p \)**:
- The fraction \( \frac{n}{100} \) can also be expressed as a percentage \( p \% \):
\[
p = \left(\frac{n}{100}\right) \times 100 = \left(\frac{5}{100}\right) \times 100 = 5\%
\]

### Final Values
Thus, the values are:
- \( n = 5 \)
- \( d = 20 \)
- \( p = 5 \)

The final answer is:
- \( n = 5 \)
- \( d = 20 \)
- \( p = 5 \)