Please explain your answers!
-1. Five bags of nuts are placed in front of you. There are fifty-two nuts altogether in the first and second bag. There are forty-three between the second and third bags, thirty-four between the third and fourth and thirty between the fourth and fifth.
There are a total of 100 nuts, how many in each bag?
-2. What have the numbers 3, 7, 8, 40, 50, and 60 in common that no other whole numbers have?
-3. My first is a number, my second another,
and each, I assure you, will rhyme with the other.
My first you will find is one-fifth of my second,
and truly my whole a long period reckoned.
Yet my first and my second (nay, think not I cozen)
When added together will make but two dozen.
-4. There are 4 wheels with their relative sizes connected as shown. If the leftmost wheel turns one revolution, how many revolutions has the rightmost wheel turned?