Page:Popular Science Monthly Volume 88.djvu/941

 Popular Science Monthly

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��Therefore, the ratio of crackers to cheese would be as 5 to 80.

Answer to "At the Stamp Window" The cashier gave the postal clerk a $1,000 bill in exchange for 18,816 one-cent stamps, 14,112 two-cent stamps, 10,584 five-cent stamps and 5 eight-cent stamps. No other United States bank-note can be divided in the nianner necessitated by the cashier's order.

Answer to "Juggling the Digits" Solution of the schoolmistress' puzzle of the digits involves the interesting principle of "residual roots," which means the con- tinuous addition of a group of figures until a single figure results. For example, i, 2, 3, 4, 5, 6, 7, 8, 9, o, added together equal 45. Four and five equal 9. No matter how those figures may be grouped in a sum, without employing fractions, the "root" number will always be 9. The root of 19 16 is 8, so it is apparent that the given problem cannot be worked out without resorting to some method which will reconcile the discrepancy in roots. Following are three methods where- in fractions are employed to bring the result: 1907 56 1907 68 1907 86

"i ■ — • 2 — ■ 2 ■ —

4 28 5 34 5 43

��9 3/5 years of age; his mother was 38 2/5 years; his father 50 2/5 years and his sister 16 4/5 years.

Answer to "Dividing the Farm"

The accom- panying diagram shows how the land formed like • the letter T is divided into four pieces of the same shape and size, it being necessary however to turn over one section in order that all four may be exactly alike.

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��Answer to " How Old Was Jimmie " On school registration day Jimmie was

��Answer to "On the African Firing Line" There are 8 cocoanuts in evidence in the picture, which may be accounted for as follows: The Zulu threw the first and the monkey the second and third. Then the Zulu picked up one and threw it back. The one he threw came back with two more from the monkey, which would account for five upon the ground. Again he picked up one and threw it, bringing two more, which would account for 7 on the ground. Once more he picked up one and threw it as his parting shot. It came back, making seven on the ground as shown in the picture. According to schedule, the monkey was entitled to two shots, and in the picture we see his first, which scored a bull's eye. The Zulu threw 4 cocoanuts.

��Answers to May Puzzles

���Answer to "Play Ball"

The diagram shows how 18 rows, 4 balls in line, may be scored in an ar- rangement of 20 balls.

Answer to "How

Large Is This Man's

Lot?"

The lot must have been 150 feet wide by 150 feet deep, having an area of 22, 5(X) square feet. He had 190 poles, and if he had placed them two feet apart around the lot, he would have been no i)olcs shy, whereas, if he harl planted them two yards apart he would have had 90 poles left over.

Answer to " Children A-plenty " Miss Pocahontas Smith must have been 24 and little Captain John 3, with 13 brothers and sisters ranging between. "Seven times older" is equivalent to "eight times as old."

Answer to " A Daisy Game " The correct reply to play of i and 2 is to

��take 8. This divides the daisy into two parts of 5 petals each. You may then imitate every play of your opponent. Should he reduce ope side to 4, you reduce the opposite to 4, and so on, which enables you to remove the last petal and win.

��Answer to " While You Wait "

The cobbler charged 90c. for repairing men's shoes, 75c. for women's and 45c. for chilrlren's.

��Answer to " Revers- ing Magic Squares"

The diagram shows how the 9 little squares arc con- structed of four sim- ilar continuous lines. The diagram also shows an arrange- ment of the 9 figures in which totals of the H rows are dis-simi- lar.

��SOLUTION

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