Question

An inspector of school have wishes to distribute 84 balls and 180 bats equally among the number of boys . Find the greatest number recieving the gift in this way

Answer 1

12 boys

Explanation:

Given that:

Number of balls to be distributed = 84

Number of bats to be distributed = 180

To obtain the greatest number of boys receiving these items ; obtain the Highest common factor of both numbers ;

84 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and 84.

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, and 180

The highest common factor here is 12, hence the greatest number of boys receiving the gifts is 12.