The theater festival in Athens was attended by 54,000 spectators. Half of the spectators watched the plays
The theater festival in Athens was attended by 54,000 spectators. Half of the spectators watched the plays of Esphilus, a third of the rest watched the plays of Euripides, and the rest watched the plays of Sophocles. How many spectators saw the plays of Sophocles?
First, we find out how many spectators watched Esfil’s plays.
1) 54000/2 parts = 27000 people.
Now let’s determine how many spectators were at the plays of Euripides. Let’s subtract 1/3 of 27 thousand spectators.
2) 27000/3 parts = 9000 people.
Next, we find out the number of people who watched the plays of Sophocles, if we subtract those who watched the plays of Esphilus and Euripides from the total number of viewers:
3) 54,000 – 27,000 – 9,000 = 18,000 people.
To summarize: only 18 thousand people watched Sophocles’ plays.