Chapter 1.1, Problem 50E

(a)

To determine

Tofind: The percent that represents the entire circle.

Answer to Problem 50E

The percentage of entire circle is $100$ .

Explanation of Solution

Given:

The pie chart the percent of different varieties of animals sold in one year as shown in Figure 1.

Calculation:

The figure of entire circle has $360°$ .

The degree of each thing can be found by multiplying the given percent of it and divide the resultant number 100.

The degree measure corresponds to the given percentage.

The formula of finding percentage of an object is $\text{percentage}=\frac{x°}{360°}\cdot 100$ if an object holds $x°$ .

Substitute $x=360$ in the formula $\text{percentage}=\frac{x°}{360°}\cdot 100$ to calculate the percentage of the entire circle.

  $\begin{array}{c}\text{percentage}=\frac{360°}{360°}\cdot 100\\ =100\end{array}$

Therefore, the percentage of entire circle is $100$ .

Conclusion:

Thus, the percentage of entire circle is $100$ .

(b)

To determine

To find: The relation of the equation with pie chart and then find the percent of cats sold.

Answer to Problem 50E

The percentage of cats is $31$ .

Explanation of Solution

Given:

The equation is $7+9+5+48+x=100$ .

Calculation:

It can be observed from Figure 1 and the equation $7+9+5+48+x=100$ that the first term 7 represents the percent of bird sold, the second term 9 represents the percent of rabbit sold, the third term 5 represents the percent of Hamster sold, the fourth term 48 represents the percent of dogs sold and the fifth term $x$ represents the percent of cats sold.

The given equation adds the percent of each animal sold together to equal $100\%$ .

The equation can be used to calculate the percent of cats sold.

$\begin{array}{c}7+9+5+48+x=100\\ 69+x=100\\ x=100-69\\ x=31\end{array}$

Therefore, the percentage of cats is $31$ .

Conclusion:

Thus, the percentage of cats is $31$ .