Popular Science Monthly 



913 



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. 



1916 



1916 



1916 



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 



