Question

I have 40 pieces of facemasks and 32 bottles of alcohol which will be distributed  equally to a group of front liners, if each of them will have the greatest          number of bottles of alcohol and facemasks, how many front liners will receive          each item?         Solution: ___________________________________________________________________         _____________________________________________________________________________​

Answer 1

• 8 front liners

Explanation:

Factorize the numbers:

• 40 = 2*2*2*5
• 32 = 2*2*2*2*2

LCM of the numbers is:

• LCM(40, 32) = 2*2*2 = 8

This is a maximum number of front liners.

Each will receive:

• 40/8 = 5 facemasks and
• 32/8 = 4 bottles of alcohol