Q. 1.19 - An Introduction to General, Organic, and Biological Chemistry

Question

a. A clinic had $25$  patients on Friday morning. If $21$ patients were given flu shots, what percentage of the patients received flu shots? Express your answer to the one's place.

b. An alloy contains 56 g of pure silver and 22 g of pure copper. What is the percentage of silver in the alloy? Express your answer to the one's place.

c. A collection of coins contains $11$ nickels, $5$ quarters, and $7$dimes. What is the percentage of dimes in the collection? Express your answer to the one's place.

Step-by-Step Solution

Answer

a. The percentage of the patients received flu shots is $84\%$.

b. The percentage of silver in the alloy is $71.79 \%$.

c. The percentage of dimes in the collection is $30.43\%$.

Part (a) step 1: Given Information

We need to find the percentage of the patients received flu shots.

Part (a) step 2: Simplify

Consider:

Number of patients the clinic had =$25$

Number of patients given flu shots=$21$

of patients given flu shots$=??$

Now,

of patients flu shots $=\frac{21patients}{25patients}\times 100$

$=84 precente$.

Part (b) step 1: Given Information

We need to find  the percentage of silver in the alloy.

Part (b) step 2: Simplify

Now,

$$\begin{gathered} percentage=\frac{math}{total math}\times 100 \\ percentage of silver= \frac{56}{78}\times 100 \\ =71.79\% \end{gathered}$$

Part (c) step 1: Given Information

We need to find  the percentage of dimes in the collection.

Part (c) step 2: Simplify

Here,

$$\begin{gathered} percentage=\frac{math}{total math}\times 100 \\ percentage of dimes=\frac{7}{11+5+7}\times 100 \\ =30.43\% \end{gathered}$$