Chapter 1.1, Problem 50E

a.

To determine

To calculate what percent is represented by the entire circle.

Answer to Problem 50E

100

Explanation of Solution

Given:

  

Formula used:

Percentage is out of 100

Calculation:

Here in the entire circle, each sector is represented in percentage

Therefore, the entire circle must be represented by full 100%

Conclusion:

The entire circle represents 100%

b.

To determine

To explain how the equation relates to the given figure and find the percent of cats sold.

Answer to Problem 50E

31%

Explanation of Solution

Given:

Equation: $7+9+5+48+x=100$

  

Calculation / Explanation:

Consider the given equation,

  $7+9+5+48+x=100$

Here, 7 represents the percent of birds sold, 9 represents the percent of rabbits sold, 5 represents the percent of hamster sold, 48 represents the percent of dogs sold and x represents the percent of cats sold.

On solving the given equation the percent of cats sold can be found.

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

Conclusion:

Thus, the percent of cats sold is 31.