Problema Solution
Every 8th robot gets a blue control panel, every 3rd one gets green eyes and every 4th one gets a square head. If 150 robots are made how many with have all three: a blue control panel, green eyes and a square head?
Answer provided by our tutors
The least common measure for 8, 3 and 4 is 24, that is, LCM(8, 3, 4) = 24
This means that every 24th robot will have a blue control panel, green eyes and a square head.
Since 1*24, 2*24, 3*24, 4*24, 5*24 and 6*24 are smaller than 150 and are multiples of 24 follows 6 robots will have all three: a blue control panel, green eyes and a square head.