6 3. by 9 6. 81. Divide 8 4 6 30986 by 3. 4. 66 5. 66 6. 66 7. 8. 66 67860121 by 34210390 by 54697283 by 103. Note. In all cases in Division, when there is any remainder, the remainder and divisor form a Vulgar Fraction. Thus, if the divisor be 8 and the remainder 5, they make or five eights; or, as in one of the preceding examples, the divisor is 56 and the remainder 34, which make t. 1. A man bought 6 oxen for 318 dollars. How much did he pay a head. Ans. 53 dollars. 2. How much flour at 7 dollars per barrel can be bought for 1512 dollars? Ans. 216 barrels. 3. If 1600 bushels of corn are to be divided equally among 40 men, how much is that a piece? Ans. 40 bushels. 4. The salary of the President of the United States is 25000 dollars a year. How much is that a day, reckoning 365 days to the year? Ans. 68 5. A regiment consisting of 500 men are allowed 1000 pounds of pork per day. How much is each man's part? Ans. 2 pounds, 6. If a field of 32 acres produce 1920 bushels of corn, how much is that per acre? Ans. 60 bushels. 7. A prize of 25526 dollars is to be equally divided among 100 men. What will be each man's part? Ans. 255,2 dollars. 8. How many oxen at 30 dollars a head, may be bought for 38040 dollars?? Ans. 1268 oxen, Question 1. What does Simple Division teach? 2. What are the four principal parts of Division? 3. How do you proceed when there is one cypher or more on the right hand of the divisor? 4. How do you proceed in dividing by ten, or a hundred, or a thousand? 5. How do you proceed when the divisor does not exceed 12? 6. When you divide by any number not exceeding 12, what is the operation called? 7. When the divisor is of such a number that two figures multiplied together will produce it? 8. What can be made by placing the remainder of a sum over the divisor? Ans. A Vulgar Fraction. 9. How is a sum in Division proved? PROMISCUOUS QUESTIONS. 31 Promiscuous Exercises on the slate under all the foregoing Rules. 1. A man bought a cart for 25 dollars, a yoke of oxen for 69 dollars, and a plough for 7 dollars. What did re give for the whole? Ans. 101 dollars. 2. What will 315 bushels of rye cost at 42 cents a bushel? Ans. 13230 cents. 3. If my income be 1647 dollars, and I spend 1010 dollars of it, how much do I save? Ans. 637 dollars. 4. Four boys had gathered 113 bushels of walnuts; in dividing them equally, how many will each have? Ans. 28 bushels. 5. There are 63 gallons in a hogshead. How many gallons are there in 25 hogsheads? Ans. 1575 gallons. 6. A merchant bought a stock of goods for 30250 dollars, and sold it again for 40000 dollars. How much did he gain? Ans. 9750 dollars. 7. A merchant bought at auction, broadcloth for 350 dollars, muslin 97 dollars, linen 1010 dollars, silk 874 dollars, and calico 8 dollars. To what did the whole amount? Ans. 2339 dollars. 8. There are 328 rows of corn in my field and each row has 169 hills. How many hills are there in the field? Ans. 55432 hills. 9. John had in his desk 1000 dollars. He took out 120 dollars to pay a debt; he afterwards put in 75 dollars. How much was there in the desk? Ans. 955 dollars. 10. A farmer has a flock of 60 sheep; one third of them are black and the rest white. How many of them are black? Ans. 20. 11. A merchant has 50 boxes of raisins with 17 pounds in each box. How many pounds are there in all? 12. There are 4 quarts in a gallon. lons are there in 760 quarts? Ans. 850 pounds. Ans. 190 gallons. 13. Ann had a paper of pins which had 600 in it when she bought it, but she used 245 of them. How many are left? Ans. 355 pins. 14. If I divide 364 cents among 14 boys, how many will each have? Ans. 26 cents 32 PROMISCUOUS QUESTIONS. 15. There are 1681 nuts in a basket, James took out 150, Charles 272 and John 1005; after which, Joseph put in 95. How many were there in the basket? Ans. 349 nuts. 16. A cooper worked 115 days, and made 6 barrels each day. How many barrels did he make? Ans. 690 barrels. 17. A person has in money 5000 dollars; in bank stock 3500 dollars, and in merchandize 12500 dollars. He intends to divide all this property equally among his 3 sons. What will be the share of each son? Ans. 7000 dollars. 18. William had 372 pears; he kept 120 of them, and divided the rest between his two sisters. How many did each sister receive? Ans. 126 pears. 19. There are 10 bags of coffee weighing each 120] pounds, and 12 bags weighing each 135 pounds. What is the weight of the whole? Ans. 2820 pounds. 20. There are 15 firkins of butter each weighing 49 pounds. The firkins which contain the butter weigh each 7 pounds. How much would the butter weigh without the firkins? Ans. 630 pounds. 21. A man died, leaving 12426 dollars in cash. He directed in his will that 1000 dollars should be given to his niece; and that the remainder should be equally divided between his two nephews? What is the share of each nephew? Ans. 5713 dollars. 22. A farmer, who had a farm of 520 acres, bought an adjoining one of 375 acres, and divided the whole equally among his 5 sons. How many acres had each son? Ans. 179 acres. 23. A merchant bought 5 pieces of linen containing 25 yards each, and 2 pieces containing 24 yards each, and 1 piece containing 26 yards. How many yards were there in the whole? Ans. 199 yards. 24. Three boys bought 3 baskets, each containing 150 apples, and 2 barrels, each containing 540 apples. They found 219 to be rotten, which they threw away and divided the rest equally among themselves. How many had each for his share? Ans. 437 apples. 33 The denominations of Federal money, or the money of the UNITED STATES, are, Eagle, Dollar, Dime, Cent, and Mill. In writing Federal Money, it is customary to omit Eagles, Dimes, and Mills, and set down sums in dollars, cents, and parts of a cent. The parts of a cent generally used are, halves, thirds, and quarters. Thus, is a half; a third; a quarter.. Exercises for the learner. 1. How many mills make a cent?-How many half a cent?-How many a cent and a half?-How many two cents? 2. How many halves of a cent make a cent? 3. How many thirds of a cent make a cent? 4. How many fourths of a cent make a half cent? 5. How many fourths make a cent? 6. How many cents make one fourth or quarter of a dollar. 7. How many cents make a half dollar? 8. How many cents make three-fourths of a dollar? 9. How many cents make a dollar? 10. How many dollars and cents in one hundred and ten cents? How many in two hundred and six cents?— How many in three hundred and forty-eight cents?How many in five hundred and one cents? 11. If you give a dollar for a book; thirty cents for a slate, and one cent for a pencil, how many cents will you give for the whole? 12. Write down one dollar and eight cents. Two dollars and sixteen cents. Twenty dollars and five cents? 13. Write down three hundred dollars and forty cents. 14. Five hundred eighty-four dollars and fifty cents. |