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

Question

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:

• \( n = 5 \)
• \( d = 20 \)
• \( p = 5 \)