In a collection of marbles, StartFraction 4 Over 25 EndFraction are purple. Which model shows the percent of purple marbles?

Question

A grid model with 100 squares. 4 squares are shaded.
A grid model with 100 squares. 16 squares are shaded.
A grid model with 100 squares. 25 squares are shaded.
A grid model with 100 squares. 29 squares are shaded.

Answer 1

To find the percentage of purple marbles from the fraction \( \frac{4}{25} \), we can first convert the fraction to a percentage.

1. Convert the fraction to a percentage: To convert \( \frac{4}{25} \) to a percentage, you can multiply it by 100:

   \[ \frac{4}{25} \times 100 = 16% \]

2. Identify the grid model representing 16%: In a grid model with 100 squares, 16% would mean that 16 squares should be shaded to represent the purple marbles.

Based on this calculation, the correct model that shows the percent of purple marbles is:

A grid model with 100 squares. 16 squares are shaded.