Question

In a local district math competition, three schools compete, and the winner advances to the state competition. After each round, only one-third of the schools remain in the competition to advance to the state competition. A total of 729 schools start the competition.
how many are left after three rounds

Answer 1

The number of schools left after three rounds is 27

How to determine the value

From the information given, we have that;

• Total schools in the competition is 729
• Only one-third of the schools remain in the competition

For the first round, the schools left would be;

= 729 × 1/ 3

= 729/ 3

= 243 schools

In the second round, the number of schools left would be;

= 243 × 1/ 3

= 243/ 3

= 81 schools

In the third round, the number of schools would be;

= 81 × 1/ 3

= 27 schools

Thus, the number of schools left after three rounds is 27

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