Question

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

Answer 1

Option B model shows the percent of beads that are blue.

Solution:

Fraction of beads blue = $\frac{4}{20}$

To convert it into percent multiply the fraction by 100.

$\text {Percent of} \ \frac{4}{20}=\frac{4}{20}\times 100\%$

                     $=\frac{4\times 100}{20} \%$

Cancel the common factors, we get

                    = 20%

                    $=\frac{20}{100}$

This means total number of boxes 100 and shaded in blue color 20.

Therefore option 2 represents $\frac{20}{100}$.

Hence option B model shows the percent of beads that are blue.