Question

A bag of gumdrops contains 16 orange gumdrops, 8 yellow gumdrops, and 16 black gumdrops. $\left(1.4\right)$

a. What is the percentage of yellow gumdrops? Express your answer to the ones place.

b. What is the percentage of black gumdrops? Express your answer to the ones place.

Short answer

a. The percentage of yellow gumdrops is$20\%$.

b. The percentage of black gumdrops is$40\%$.

Step-by-step solution

Part (a) Step 1: Given Information

We need to find the percentage of yellow gumdrops.

Part (a) Step 2: Explanation

Solving the percentage of yellow gumdrops

First, Calculating the total number of gumdrops$=16+5+16$

$=40$

Now, Calculating the percentage of yellow gumdrops

$=\left(numberofyellowdumdrops\right)\left(totalnumberofgumdrops\right)\times 100$

$$\begin{gathered} =\left(\frac{8}{40}\right)\times 100=\left(0.2\right)\times 100 \\ =20\% \end{gathered}$$

Part (b) Step 1: Given Information

We need to find the percentage of black gumdrops.

Part (b) Explanation

Solving the percentage of black gumdrops

Firstly, Calculating the total number of gumdrops $=16+8+16$

$=40$

Now, calculating the percentage of black gumdrops

$=\left(numberofblackgumdrops\right)\left(totalnumberofgumdrops\right)\times 100$

$$\begin{gathered} \left(\frac{16}{40}\right)\times 100=\left(0.4\right)\times 100 \\ =40\% \end{gathered}$$