Question

1. 36 balls to 81 players

Explanation:

Step1: Find the greatest common divisor (GCD) of 36 and 81.

The factors of 36 are \(1, 2, 3, 4, 6, 9, 12, 18, 36\). The factors of 81 are \(1, 3, 9, 27, 81\). The GCD of 36 and 81 is 9.

Step2: Divide both numbers by the GCD.

Divide 36 by 9: \(\frac{36}{9} = 4\). Divide 81 by 9: \(\frac{81}{9} = 9\). So the ratio simplified is \(4:9\) (or as a fraction \(\frac{4}{9}\)).

Answer:

The ratio of 36 balls to 81 players is \(4:9\) (or \(\frac{4}{9}\)).