8. If a girl by setting types can earn 1 dollar in 3 days, how much can she eam in 20 days? Solution. She can earn as many dollars as there are threes in 20. 3 in 20, 6 times and 2 over; the 2 over is 2-thirds of another three. Ans. 6 dollars and 2-thirds 9. How many times 3 in 4? in 16? in 20? 10. If a pound of lead cost 4 cents, how much can I huy for 1 cent? How many pounds for 9 certs ? 11. If it take a man 1 hour to walk 4 miles, how mary hours will it take him to walk 15 miles? 12. How many times 4 in 9? in 15? in 34? 13. How much coal, at 5 dollars a ton, can be bought for 1 dollar? How much for 7 dollars ? 14. How many hogsheads of salt, at 5 dollars a hogshead, can be bought for 44 dollars? 15. How many times 5 in 7? in 44? in 58? 16. How much ribbon, at 6 cents a yard, can you buy for 10 cents? How much for 37 cents? 17. If it cost 6 cents a mile to ride in the stage, what number of miles can you ride for 50 cents? 18. How many times 6 in 10? in 50? in 45 ? 19. How much sugar, at 7 cents a pound, can I buy for 9 cents? How much for 52 cents? 20. How many pounds of shot, at the rate of 7 cents a pound, must be sold for 34 cents? 21. How many times 7 in 9? in 52? in 34? 22. How much hay, at 8 dollars a ton must be sold for 9 dollars? How much for 29 dollars? 23. How many pounds of honey, at the rate of 8 cents a pound, must be sold for 77 cents? 24. How many times 8 in 9? in 29? in 77 ? 25. At 9 cents a pound, how much cheese must oe sold for 13 cents? How much for 31 cents? 26. If a man work for 9 cents an hour, how many hours will it take him to earn 64 cents? 27 How many times 9 in 13? in 31 in 64 ? 28. How much sugar, at 10 cents a pound, can be bought for 12 cents? How much for 64 cents ? 29. If a workman can build 10 rods of fence in 1 day, how many days will it take him to build 48 rods? 30. How many times 10 in 12? in 64? m 48? 31. How much rice at 3 cents a pound, must be given for 4 quarts of milk at 5 cents a quart? Direction. First find the value of 4 quarts of milk. 32. How many times 3 in 4 times 5? Direction. First find how much 4 times 5 is. 33. How many pounds of flour at 4 cents a pound, must be given for 5 pounds of honey at 7 cents a pound? 34. How many times 4 in 5 times 7? 35. What quantity of butter at 10 cents a pound, wili pay for 6 combs at 8 cents apiece? 36. If an active man earn 7 shillings a day, and a lazy man 4 shillings, how many days must the lazy man work, to pay the active man for working 6 days? 37. How many times 4 in 6 times 7? 38. How many yards of cloth at 5 dollars a yard, will pay for 3 boxes of raisins at 9 dollars a box? 39. How many times 5 in 3 times 9? 40. What quantity of corn at 6 dimes a bushel, will for 11 bushels of oats at 3 dimes a bushel? 41. How many times 6 in 11 times 3? pay SECTION 14. Note to Teachers. The learners must now be led to observe, that the expressions, 1-half, 1-third, 2-thirds, &c. are to be understood,-1-half of one, 1-third of one, 2-thirds of one, &c. in all cases where the number, of which the fraction indicates a part, is not stated. 1. If I should cut each of 3 sheets of paper into halves, how many halves would they make ? Solution. In 1 sheet there are 2-halves,—in 3 sheets there are 3 times 2-halves, or 6-halves. 2. How many halves are there in 1? in 2? in 3? 3. If I had 4 sheets and 1-half of a sheet of paper, how many boys could I supply with half a sheet apiece? 4. How many halves are there in 4 and 1-half? 5. If 2 slate pencils should each of them be broken into thirds, how many thirds would they make? 6. How many thirds are there in 1? in 2? 7. Suppose I had 3 pencils and 2-thirds, how many boys could I supply with 1-third of a pencil each? 8. How many thirds are there in 3 and 2-thirds? .n 1. 9. If 1-fourth of a yard of cloth will make a satchel, how many satchels will 2 yards make? 10. How many fourths are there in 1? in 2? in 3 11 How many quires of paper, at 1-fourth of a dollar a quire, can you buy for 3 dollars and 2-fourths? Solution. I can buy as many quires as there are fourths of a dollar, in 3 dollars and 2-fourths. In 1 dollar there are 4-fourths,-in 3 dollars, 3 times 4-fourths, or 12fourths: 12-fourths plus 2-fourths is 14-fourths. 12. If a carpenter use 1-fifth of a board to make 1 book shelf, how many book shelves can he make of a whole board? of 2 whole boards? of 2 boards and 3-fifths? of 4 boards and 1-fifth? 13. How many fifths are there in 1? in 2? in 2 and 3-fifths? In 4 and 1-fifth? 14. If a bunch of quills cost 1-sixth of a dollar, how many bunches can you buy for 1 dollar? for 1 dollar and 5-sixths? for 3 dollars and 2-sixths? 15. How many sixths are there in 1? in 1 and 5sixths? in 3 and 2-sixths? 16. If a stage run 1 mile in 1-seventh of an hour, what number of miles will it run in 1 hour? in 2 hours and 1-seventh? in 4 hours and 4-sevenths? 17. How many sevenths are there in 1? in 2 and 1-seventh? in 4 and 4-sevenths? 13. At 1-eighth of a dollar a yard, how many yards of ribbon can I buy for 1 dollar and 3-eighths? for 2 dollars? for 5 dollars and 7-eighths? 19. How many eighths are there in 1 and 3-eighths? m2 in 5 and 7-eighths? 20. How many ninths are there in 1? in 1 and 4ninths? in 2? in 2 and 7-ninths? in 6? 21. How many tenths are there in 1? and 5-tenths? in 8 and 3-tenths? in 5? in 4? in 3 22. A laborer earned 9 dollars and a half, working at half a dollar a day. How many days did he work? 23. If 1-eighth of a yard of cloth cost a dollar, what will 3 yards and 6-eighths cost? 24. If a man earn a dollar in 1-sixth of a week, how much can he earn in 8 weeks and 4-sixths? F 25. If it take 1-fifth of a pound of fur to make a hat, now many hats can be made of 4 pounds and 2-fifths? 26. If 1-fourth of a yard of lace cost a dollar, how much will 5 yards and 3-fourths of a yard cost? SECTION 15. 1. How many dollars in 2-halves of a dollar? in 3halves of a dollar? Ans. 1 dollar. 1 dollar and 1-half. 2. How many dollars are there in 4 half dollars? in 5 half dollars? in 9 half dollars? 3 How many whole ones in 2-halves? in 3-halves? in 4-halves? in 5-halves? in 9-halves? 4. What will 13 pencils cost, at half a cent apiece? 5. If 3-thirds of an orange be put together they make up 1 orange. Now, if you had 6-thirds of an orange, how many oranges could you make up? if you had 10-thirds? if you had 17-thirds? 6. How many whole ones in 6-thirds? in 10-thirds? in 17-thirds? 7. What cost 26 quills, at 1-third of a cent apiece? Solution. If 1 quill cost 1-third of a cent, 26 quills will cost 26-thirds of a cent. 26-thirds of a cent are as many cents as 3 is contained times in 26. 3 in 26, 8 times and 2 over. Ans. 8 cents and 2-thirds. 8. How many whole apples could you make up, if you had 5-fourths of an apple? 14-fourths of an apple? 9. What cost 31 cups, at 1-fourth of a dollar apiece? 10. How many whole ones in 5-fourths? fourths in 31-fourths? in 14 11. If 1 cotton ball be given for 1-fifth of a yard of galloon, how much galloon must be given for 8 cotton balls? for 17 cotton balls? for 44 cotton balls? 12. How many whole ones are there in 8-fifths? in 17-fifths? in 44-fifths? 13. If a quire of paper cost 1-sixth of a dollar, what is the cost of 12 quires? 17 quires? 19 quires? 14. How many whole ones in 12-sixths? in 17sixths? in 19-sixths? 15. How many whole ones in 18-sevenths? in 24tenths? in 31-eighths? in 47-ninths? in 25-fourths? SECTION 16. 1. Ellen paid, for the Young Ladies' Class Book, 3fourths of a dollar; for the Boston School Atlas, 2-fourths of a dollar; and for the National Spelling-Book, 1-fourth of a dollar. What did the whole cost? 2. How much is 3-fourths and 2-fourths and 1-fourth? 3. A trader sold a piece of cloth for 19 dollars and 5-eighths, and a hat for 4 dollars and 7-eighths. How many dollars did he receive for both? 5 Solution. 19 dols. plus 4 dols. are 23 dols. eighths of a dol. plus 7-eighths of a dol. are 12-eighths of a dol, equal to I dol. and 4-eighths. Then, 23 dols. plus 1 dol. and 4-eighths are 24 dols. and 4-eighths. 4. A traveller rode 31 miles and 3-fifths in the foreand 25 miles and 4-fifths in the afternoon. noon, many miles did he ride in the whole day? 5. What is 31 and 3-fifths plus 25 and 4-fifths? How 6. A trader bought some goods for 64 dollars and 5sevenths, and paid 5 dollars and 3-sevenths for the postage of them. What was the whole expense? 7. What is 64 and 5-sevenths plus 5 and 3-sevenths? 8. A gentleman paid 33 dollars and 7-tenths for some cloth, and 11 dollars and 6-tenths for having it made into a suit of clothes. What did the suit cost? 9. What is 33 and 7-tenths plus 11 and 6-tenths? SECTION 17. 1. Suppose a rail-road car to run 2-thirds of a mile in 1 minute, what distance will it run in 10 minutes ? Solution. In 10 minutes it will run 10 times 2-thirds of a mile, or 20-thirds of a mile. 20-thirds of a mile are equal to 6 miles and 2-thirds. 2. If 3-fourths of a gallon of wine leak out of a cask in 1 hour, how much will leak out in 7 hours? 3 How many whole ones in 7 times 3-fourths? 4. If a yard of cambric muslin cost 4-fifths of a dol lar, how much will 9 yards cost? 5. How many whole ones in 9 times 4-fifths? |