rel, he could buy only of that number, that is, 6 barrels. 25 and 26. Ans. 94. 31. 4 is 2, and 93 is 48. Now is contained part as in 48 48 times, and 21 is contained only many times, consequently only 2 or 24. B. 1. is; consequently 5 pounds can be bought for of a dollar. 3. is, and is. If he had given only apiece, he could have given it to 9 persons, but since he gave he could give it to only 1 half as many, or 4 persons. 5. is, and is 4. If a pound had cost i of a dollar, 14 pounds could be bought for 4 of a dollar, but since it costs, only as many can be bought; that is, 43 pounds. 9. is, and 15 is 5. If a bushel had cost of a dollar, 65 bushels might have been bought, but since it cost 18, only part as much could be bought; that is, 4 bushels. 12. is, and is, is contained in § 15 times, but is contained only as many times; that is, 33 times. Miscellaneous Examples. 5. of a penny is of 4 farthings. Ans. 23 farthings. 6. of 12 pence. Ans. 10 pence. 7. of 4 quarters is 2 quarters and of a quarter; of a quarter is 2 of 4 nails, which is 13 nails. Ans. 2 quarters, 13 nails. 13. 14. of 24 hours is 15 hours. of 24 hours is 14 hours of 60 minutes is 24 minutes. minutes. 28. There being 4 farthings in a penny, 1 farthing is part of a penny. 30. 3 farthings is of a penny. 31. 1 12 1 penny is of a shilling, because there are 12 pence in a shilling. of a shilling. 5 far 48. 1 farthing is of one shilling. 49. 2 farthings is, or things is of a shilling. 51. 1 penny is 2 of 1 pound. 7 pence is a of 1£. 100. At the end of 1 hour they would be 7 and miles apart. In 7 hours, 7 times 7, which is 543 miles. 121. This is the principle of fellowship; 3 shillings were paid; one paid, the other. 122. One paid 3, the other §. 123. 20 dollars were paid in the whole, one paid the second; the third The first put in i 129. 4 dollars for 2 months, is the same as 8 dollars for 1 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 haves, B , and C, of 100 dollars. 131. A's money was in 4 times as long as C'a. 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 2 of 88 dollars. The examples 127, 128, 129, 130, and 131, are double or compound fellowship. The 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 of a cent a month) is 63 cents. whole amounts to 5 dollars and 38 cents. 140. The interest of 200 dollars for 1 is 16 dollars. The interest of 67 dollars is 67 cents years for every 2 months, for 16 months it will be 8 times 67 cents, which are 5 dollars and 36 cents. whole interest is 21 dollars and 36 cents. The 143. The interest of 100 dollars for 2 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 of a dollar, or 33 cents. The interest of 1 dollar for 21 years is 13 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 21 years is 7 times 13 cents or 94 cents. The interest of 37 dollars for 60 days would be 37 cents, and for 20 days } of 37 cents, or 12 cents. The whole interest is 18 dollars and 95 cents. 146. They would both together do 3 of the work in 1 day, and it would take them 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. 1 days. 149. They both together consume of a bushel in a week, but the woman alone consumes only of a bushel in a week. That is, they both together consume in a week, but the woman alone only f, consequently, the man alone would consume; and a bushel would last him 3 weeks. 152. A and B can build of it in 1 day; A, B, and C, can build of it in I day, the difference between and is; therefore C can build of it in 1 day; and it would take him 13 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 7, 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 21 from 100 and the remainder is of the number of geese that he had. 180. This must be reduced to 6ths. 1 half is 3, and is, and the number itself is g. If therefore to the whole number its half and its third be added, the sum will be ; hence, 77 is of the number. 181. is; therefore if to a number 1⁄2 and ↓ of itself be added, the whole number will be ; but when 18 more is added to, the first number is doubled; that is, the number is of the first number; therefore 18 is of the number. IMPROVED SCHOOL BOOKS. Colburn's First Lessons, or, Intellectual Arithmetic. THE merits of this little work are so well known, and so highly appreciated in Boston and its vicinity, that any recommendation of it is unnecessary, except to those parents and teachers in the country, to whom it has not been introduced. To such it may be interesting and important to be informed, that the system of which this work gives the elementary principles, is founded on this simple maxim; that, children should be instructed in every science, just so fast as they can understand it. In conformity with this principle, the book commences with examples so simple, that they can be perfectly comprehended and performed mertally by children of four or five years of age; having performed these, the scholar will be enabled to answer the more difficult questions which follow. He will find, at every stage of his progress, that what he has already done has perfectly prepared him for what is at present required. This will encourage him to proceed, and will afford |