Question

Molten monsters from depths of the earth have surfaced; each has 3 heads and 47 legs.At the first meeting between humans and monsters there were 106 legs.assumings all beings had all their legs and heads, how many heads were at this meeting of the minds?

Answer 1

12 heads

Explanation:

if each monster has 47 legs, then there cant be more then 2 monsters because that would be too many legs...and there cant be just 1 monster....because that would leave (106 - 47) = 59 legs....and human legs wont add up to 59....

2 monsters = (2 * 47) = 94 legs........leaving (106 - 94) = 12 legs

each human has 2 legs.......so that means 12/2 = 6 humans.

so we have 2 monsters (each with 47 legs) + 6 humans (each with 2 legs) = 106 legs

so we have 2 monsters and 6 humans....each monster has 3 heads..and if we have 2 monsters, we have (3 * 2) = 6 heads...and if we have 6 humans, we have 6 heads.....so there is a total of 12 heads <====