Lester saw a number of men, dogs and spiders in a group. When he counted the number of legs of all of them in the group, he found them to be 420. He knows that the number of dogs in the group is double the number of men and the number of spiders is double the number of dogs.
Can you help him find the number of men, dogs and spiders in the group?
Hint
Men have 2 legs, dogs have 4 legs and spiders have 8 legs.
Answer
Lester found that there were 10 men, 20 dogs and 40 spiders in the group.
If you consider the group to consist of 1 man, 2 dogs and 4 spiders, the number of legs will be 42 (This is the least value possible with the given ratio). Since 420 is ten times 42, you must multiply this ratio of men to dogs to spiders by 10 to get the answer.