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A. This section contains the divisions of whole numbers by fractions, and fractions by fractions. 1. Since there are 4 in 2, it is evident that he could give them to 6 boys if he gave them # apiece, but if he gave them 4 apiece, he could give them to only one half as many, or 3 boys. 5. If of a barrel would last them one month, it is evident that 4 barrels would last 20 months, but : since it takes 4 of a barrel, it will last them but one half as long, or 10 months. 7. 6; is "... If , of a bushel would last a week, 6; bushels would last 27 weeks; but since it takes #, it will last only 4 of the time, or 9 weeks. 13. If he had given 4 of a bushel apiece, he might have given it to 17 persons, but since he gave 3 halves apiece, he could give it to only 4 of that number, that is to 5 persons, and he would have 1 bushel left, which would be # of enough for another. 23. 0} is ‘’, and 14 is o. If it had been only # of a dollar a barrel, he might have bought 66, barrels for 94 dollars, but since it was * a barw

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5. of a penny is # of 4 farthings. Ans. 2; farthings.

6. # of 12 pence. Ans. 10 pence.

7. # of 4 quarters is 2 quarters and 3 of a quarter; # of a quarter is 4 of 4 nails, which is 1} nails, Ans. 2 quarters, 13 nails.

13. # of 24 hours is 15 hours.

14. of 24 hours is 14 hours and # of an hour; # of 60 minutes is 24 minutes. Ans. 14 hours, 24 minutes.

28. There being 4 farthings in a penny, 1 farthing is # part of a penny. 80.83 farthings is ; of a penny. 31. I penny is to of a shilling, because there are 12 pence in a shilling. w 34. 5 pence is for of a shilling. 41. 1 shilling is on of a pound. 43. 3 shillings is or of a pound. 48. I farthing is so of one shilling. 49. 2 farthings is #, or or of a shilling. 5 farthings is is of a shilling. 51. 1 penny is 34m of 1 pound. 7 pence is a #r of 136. 59. 3s.5d. is 41 pence, which is or of 1:6. 75. 1 nail is for of a yard, 5 nails is so of a yard. 89. 1 oz. is to of 1 lb. 15 oz. is # of 1 lb. 91. 1 lb. is or of 1 quarter. 9 lbs. is or of 1 quarter. 100. At the end of 1 hour they would be 7 and 4 miles apart. In 7 hours, 7 times 73, which is 54% miles. - 121. This is the principle of fellowship; 3 shillings were paid ; one paid #, the other #. 122. One paid #, the other #. 123. 20 dollars were paid in the whole, one paid #, another or, and the third or. 121. 3 and 4 and 5, are “12. The first put in or ; the second so ; the third #. 129. 4 dollars for 2 months, is the same as 8 dollars for H month; 3 dollars for 3 months, is the same as 9 dollars for 1 month ; and 2 dollars for 4 months, is the same as 8 dollars for 1 month. The question is the same as if A had put in 8 dollars, B 9 dollars, and C 8 dollars. A must have gos, B * , and C or, of 100 dollars. 131. A's money was in 4 times as long as C’s. It is the same as if A had put in 8 dollars for the same time, and B 8 dollars for the same time. A must have #, B #, and C # of 88 dollars. The examples 127, 128, 129, 130, and 131, are double or compound fellowship. 139. The interest of 50 dollars for 1 year and 6 months is 4 dollars and 50 cents, and for 1 month it is 25 cents. The interest of 7 dollars for 18 months (a dollar is 4 of a cent a month) is 63 cents. The whole amounts to 5 dollars and 38 cents. 140. The interest of 200 dollars for 14 years is 16 dollars. The interest of 67 dollars is 67 cents for every 2 months, for 16 months it will be 8 times 67 cents, which are 5 dollars and 36 cents. The whole interest is 21 dollars and 36 cents. 143. The interest of 100 dollars for 24 years, is 13 dollars and 50 cents. The interest of 100 dollars for 60 days would be 1 dollar, the interest for 20 days will be 4 of a dollar, or 334 cents. The interest of 1 dollar for 24 years is 134 cents, for 10 dollars the interest would be 1 dollar and 35 cents, and for 30 dollars, 4 dollars and 5 cents. The interest of 7 dollars for 24 years is 7 times 134 cents or 944 cents. The interest of 37 dollars for 60 days would be 37 cents, and for 20 days ; of 37 cents, or 124 cents. The whole interest is 18 dollars and 954 cents. 146. They would both together do # of the work in 1 day, and it would take them 4 of a day to do the other #. Ans. 14 day. 147. # would be done in 1 day, and it would take # of a day to do the other #. Ans. 14 days. 149. They both together consume 4 of a bushel in a week, but the woman alone consumes only 4 of a bushel in a week. That is, they both together consume #r in a week, but the woman alone only * , consequently, the man alone would consume to and a bushel would last him 34 weeks.

152. A and B can build of it in 1 day; A, B, and C, can build 4 of it in 1 day, the difference between 4 and 4 is for ; therefore C can build or of it in 1 day; and it would take him 134 days to build it alone. 164. Find how much they might eat in a day, in order to make it last 1 month, and then it will be easy to find how much they may eat in a day to make it last 11 months. 167. The money is 7 parts of the whole, and the purse one part; consequently the money is 4, and the purse # of 16. 170. He gave 1 part for the apple, 2 parts for the orange, and 4 parts for the melon. These make 7 parts. The apple 3 cents, the orange 6 cents, and the melon 12 cents. 175. If to a number half of itself be added, the sum is # of that number ; hence, subtract 2% from 100 and the remainder is 3 of the number of geese that he had. 180. This must be reduced to 6ths. 1 half is #, and # is #, and the number itself is #. If therefore to the whole number its half and its third be added, the sum will be 'o'; hence, 77 is o of the number. 181. 4 is 4; therefore if to a number # and ; of itself be added, the whole number will be #; but when 18 more is added to 4, the first number is doubled; that is, the number is # of the first number; therefore 18 is ; of the number

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