Question

CARD GAMES Juanita told her dad that she won 80% of the card games she played yesterday. If she won 4 games, how many games did she play?

Short answer

The number of card games played by Juanita is 5.

Step-by-step solution

Step 1. Given information.

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

Step 2. Definition of percentage.

A percentage is a ratio that can be expressed as a fraction of 100.

Step 3. Assumptions and apply the definition of percentage.

Let x be the number of games Juanita played

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

$\frac{4}{x}=80\%$

Step 4. Calculations

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

Hence, the number of card games played by Juanita is 5.