Question

An inspector of school wishes to distribute 84 balls and 180 bats equally among a numbr of boys find the greatest recieving the gift in this way

Answer 1

To find the maximum number of boys receiving the gift, find the HCF of number of balls and bats.

180 = 2*2*3*3*5

84 = 2*2*3*7

HCF = 2*2*3 = 12

So maximum number of boys receiving gifts is 12.

Each will receive

180/12 = 15 bats

84/12 = 7 balls