Q. 1.45 - An Introduction to General, Organic, and Biological Chemistry

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.

Step-by-Step Solution

Answer

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

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

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

$=\left(number of yellow dumdrops\right)\left(total number of gumdrops\right)\times 100$

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

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

$=\left(number of black gumdrops\right)\left(total number of gumdrops\right)\times 100$

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