In the collection of beads, StartFraction 4 Over 20 EndFraction are blue. Which model shows the percent of beads that are blue?

Question

A grid model with 100 squares. 4 squares are shaded.
A grid model with 100 squares. 20 squares are shaded.
A grid model with 100 squares. 24 squares are shaded.
A grid model with 100 squares. 32 squares are shaded.

Answer 1

To determine which model shows the percent of beads that are blue, we start by calculating the percentage represented by the fraction \( \frac{4}{20} \).

1. First, simplify the fraction \( \frac{4}{20} \): \[ \frac{4}{20} = \frac{1}{5} \]

2. To find the percentage, we convert the fraction \( \frac{1}{5} \) into a percentage: \[ \frac{1}{5} \times 100% = 20% \]

Now, knowing that 20% of the beads are blue, we need to identify the correct model.

The options provided are:

• A grid model with 100 squares. 4 squares are shaded.
• A grid model with 100 squares. 20 squares are shaded.
• A grid model with 100 squares. 24 squares are shaded.
• A grid model with 100 squares. 32 squares are shaded.

Since we determined that 20% of the beads are blue, the grid model that best represents this is:

• A grid model with 100 squares. 20 squares are shaded.

This model correctly illustrates that 20 out of 100 squares indicate 20% of the beads are blue.