2. If 3 men in 12 days can reap 32 acres, how many acres can 8 men reap in 24 days? Ans. 170A. 2R. 26P. 20yd.+ 3. When 10 oxen in 18 days eat two acres of grass, how many acres will serve 20 oxen 27 days? Ans. 6.A. 4. If 36 pounds of bread be sufficient for 9 men 10 days, how many pounds will suffice 24 men 5 days? Ans. 481b. 5. If 100 dollars in a year give 6 dollars interest, what will 335 dollars give in 18 months? Ans. $30 15cts. 6. If 56 dollars 314 cents be the wages of 20 men for 5 days, what will 46 men earn in 32 days? Ans. $828 92cts. 7. Suppose 8 men can make 120 pair of shoes in 30 days, how many can 12 men make in 90 days? Ans, 540pair. 8. If 37b. of beef be sufficient for 12 persons 4 days, how many lb. will suffice 38 men 16 days? Ans. 468lb. 10 oz. 9. If 2 quarts and 1 pint of oil be sufficient for 8 lights 4 evenings, what quantity will supply 12 lights 7 evenings? Ans. 13pt.+32. 10. If 7 yards of cloth that is 3 quarters wide cost 17 dols. 37 cts., what will be the price of 24 yds. and 2 qrs. which is 7 qrs. wide? Ans. $132 43cts.+55. 11. If 12 bushels of oats be sufficient for 20 horses 22 days, how many bushels will serve 62 horses 36 days? Ans. 60bu. 3pe. 3qt. 1pt.+376. 12. What is the interest of 563 dollars for 4 years and a half, at 6 per cent. per annum ? Ans. $152 01ct. 13. If 6 tons of hay be sufficient for 8 horses 7 months, how much will serve 20 horses 1 year and 5 months? Ans. 36T. 8cwt. 2qr. 8lb. 14. When 1 pound of thread makes 2 yards of linen 5 quarters wide, how many pounds of thread would be wanted to make a piece of linen 50 yards long and 3 Ans. 15lb. quarters of a yard wide? 15. If 7 reapers have 21 dollars for 3 days' work, how many will earn 96 dollars in 32 days? Ans. 3 reapers. 16. If 100 dollars in 1 year gain 7 dollars interest, what sum will gain 9 dollars in 4 months? Ans. $360. 17. If 27 men can build a wall 40 feet high and 54 feet long in 10 days, in how many days can 72 men build a wall 20 feet high of the same length? Ans. 1da. 10th. 18. If a man can travel 305 miles in 30 days, when the days are 14 hours long, in how many days can he travel 1056 miles, when the days are 12 hours long? Ans. 116days.+2540. 19. If 210 dollars will defray the expenses of 4 men for 24 weeks and 3 days, how long will 15 men be in spending 837 dollars? Ans. 25we. 6da.+2358. 20. If 50 dollars in 5 years gain 15 dollars, what sum will gain 30 dollars in 2 years and a half? Ans. $200. 21. If 5 men receive 20 dols. 50 cts. for 4 days' labour, how much must 34 men get for 90 days? Ans. $3136 50cts. 22. If the carriage of 24 cwt. for 45 miles be 18 dol|lars, how much will it cost to convey 76cwt. 121 miles?. Ans. $153 26cts.+720. and 23. If 6 men in 7 days can mow 42 acres of grass, how many men can mow 392 acres in 14 days? Ans. 28 men. 24. If 35 cwt. be carried 20 miles for 9 dollars and 50 cents, how much will 50 cwt. cost to be carried 150 miles? Ans. $101 781cts.+2. 25. If 125 dollars in 1 year and 6 months gain 11 dollars and 75 cents, what sum will gain 31 dollars 183 cents in 9 months? Ans. $663 56 cts.+2250. 26. What is the interest of 275 dollars for 4 years 8 months, at 6 per cent. per annum? Ans. $77. 27. With how many dollars could I gain 6 dollars in 1 year, if with 560 dollars I gain 56 dollars in 1 year and 8 Ans. $100. 28. If 5 pounds of worsted make 12 yards of stuff, of 1 yard 1 quarter broad, how many pounds would be wanted to make 75 yards, 3 quarters of a yard wide? Ans. 521b.+3. months? PRACTICE. PRACTICE is a short method of working such questions in the single rule of three as have one for their first term. Case 1. When the given price is a,, or of a cent, or any number of mills. Rule. Divide the given number by the aliquot, or even part of a cent, for the answer in cents. Note.-If the given price be, take the aliquot part for first, and then for a 4, and add the products together. Case 2. When the given price is cents only. Rule. Divide the given quantity by the aliquot parts of a dollar, for the answer in dollars. Case 3. When the given price is dollars and cents. Multiply the given quantity by the dollars, and take aliquot parts for the cents, and add the products together for the answer in dollars. Case 4. When the quantities given are of various denominations, such as cwt. 'qrs. and lbs. Rule. Set down the given price of one of the highest given denominations, and multiply it by the whole of the highest denomination; then take aliquot parts of the next lowest denomination continually, and add the products together for the answer. Proof. By the single rule of three. What is Practice? Questions. Repeat the Practice table, or table of aliquot parts. When the given price is a, a, or of a cent, or any number of mills, by what rule do you proceed, and what is to be noted if the given price is ?? When the given price is cents only, by what rule do you work? Repeat the rule for performing the operation when the given price is dollars and cents. By what rule do you work when the given quantity consists of divers denominations, cwt. qrs. and lbs., or the like, and the given price consists of dollars and cents? How do you prove Practice? Examples. CASE 1. 1. What is the value of 48 yards of tape, at a quarter of a cent a yard? 2. What is the value of 1654 yards, at half of a cent a yard? cts. cts. /3/1654 |