64 Arithmetic & Algebraic Problems
skimmed milk he must add to a quart of whole milk to reduce the percentage
of cream to 4 per cent."- FEEDING THE MONKEYS
A man went to the zoo monkey house with a bag of nuts. He found that
if he divided them equally among the eleven monkeys in the first cage he
would have one nut over; if he divided them equally among the thirteen
monkeys in the second cage there would be eight left; if he divided them
among the seventeen monkeys in the last cage three nuts would remain.
He also found that ifhe divided them equally among the forty-one monkeys
in all three cages, or among the monkeys in any two cages, there would
always be some left over.
What is the smallest number of nuts that the man could have had in his bag?
205. SHARING THE APPLES
Dora Crackham the other morning asked her brother this question: "If
three boys had a hundred and sixty-nine apples which they shared in the
ratio of one-half, one-third, and one-fourth, how many apples did each
receive?"
- SAWING AND SPLITTING
Colonel Crackham, one morning at the breakfast table, said that two men
of his acquaintance can saw five cords of wood per day, or they can split
eight cords of wood when sawed. He wanted to know how many cords must
they saw in order that they may be occupied for the rest of the day in
splitting it.
- THE BAG OF NUTS
George Crack ham put five paper bags on the breakfast table. On being
asked what they contained, he said:
"Well, I have put a hundred nuts in these five bags. In the first and second
there are altogether fifty-two nuts; in the second and third there are forty-