Chapter 0.6, Problem 26E

To determine

To calculate: The number of card games played by Juanita if she won four games.

Answer to Problem 26E

The number of card games played by Juanita if she won four games is $5$ .

Explanation of Solution

Given information:

Juanita won four card games and also won $80\%$ of the card games.

Formula used:

Percent proportion is ratio of amount and base is same as percent to 100.

To convert percentage to fraction divide the number by 100.

Calculation:

It is provided that Juanita won four card games and also won $80\%$ of the card games.

Let x denote the number of games she played

Recall that percent proportion is ratio of amount and base is same as percent to 100.

According to the question, number of games she won divided by number of games she played is equal to $80\%$ , that is,

  $\begin{array}{c}\frac{4}{x}=80\%\\ \frac{4}{x}=\frac{80}{100}\\ x=\frac{400}{80}\\ x=5\end{array}$

Therefore, she played five card games and won four of them.

Thus, the number of card games played by Juanita if she won four games is $5$ .