24. What decimal is equal to 3 of 5 taken from of 83 ? Ans. 1,91666+. 25. What decimal is equal to 2,,, added together? REDUCTION OF DENOMINATE DECIMALS. 1. Reduce 2ft. 6in. to the decimal of a yard. Ans. ,833333+. 2. Bought 7oz. 19pwt, of silver: what part of a pound? 3. Reduce 4 months to the decimal of a year. Ans. ,375. 4. Reduce 72 days to the decimal of a year of 365 days. 5. Reduce £25 19s 51⁄2d to the decimal of a pound. Ans. £25,972916+. 6. Reduce 3qr. 217b. to the decimal of a cut. 7. Reduce 5fur. 36rd. 2yd. 2ft. 9in. to the denomina tion of a mile. Ans. 739157m.+. 8. Reduce 4cwt. 23qr. to the decimal of a ton? Ans. ,15334821 T.+. 10. Reduce 17hr. 6m. 43sec. to the decimal of a day. TO FIND THE VALUE OF A DECIMAL NUMBER. 1. What is the value of ,86 of a cwt.? Ans. 3qr. 12lb. 5oz. 1dr.+. 2. What is the value of ,8593 of a pound Troy? 3. What is the value of ,142465 of a year of 365 days? Ans. 51,999725da. 4. What is the value of ,002084 of a pound Troy? 5. What is the value of ,367 of a year? Ans. 134da. 1hr. 7m. 19 sec. 6. What is the value of ,7895 of a mile? 7. What is the value of ,375 of a yard? 8. What is the value of ,08634 of a mile? 9. What is the value of ,0098 of a ton? Ans. 1qr. 2na. Ans. 21lb. 15oz. 3,712dr. 10. What is the value of ,2094 of a day? PROMISCUOUS QUESTIONS. 1. What will 11 tons of hay cost at $17,37 a ton? Ans. $201,92625. 2. What will 12gal. 3qt. 1pt. of wine cost at $0,28 a quart? 3. Bought a load of potash for $9,17, paying at the rate of $16 a ton: what was the weight of the potash ? Ans. 11cwt. 1gr. 23lb. 4. What will 57yd. 2qr. 3na. of cloth cost at $6,78 a yard? 5. What will 7A. 2R. 38P. of land cost at $64,50 per acre? Ans. $499,06875. 6. Suppose a farmer had 4 granaries of rye, the first contained 4,67 bushels; the second 9,87; the third 10,01; and the fourth 11,0012; after using 18,0679 bushels he sold the remainder for $1,03 per bushel, and divided the money among nine persons: what did each receive? 7. What is the cost of 693 yards of cloth, at $3,4775 per yard. Ans. $2409,9075. 8. What is the cost of 917 bushels of wheat at $1,125 per bushel? 9. What is the cost of 328 yards of calico at $0,131. per yard? Ans. 43,733333+. 10. Bought 17 bags of hops, each weighing 4cwt. 3qr. 7lb. at $5,85 per cwt.: what was the whole cost? 11. A merchant sold 4 packages of cloth of the following number of yards, viz: the 1st contained 254 and 6 thousandths yards; 2d, 12 and 6 tenths yards; 3d, 8 and 2 hundredths yards; 4th, 180 and 2 millionths yards: how much did he sell in all? Ans. 454,626002yd. 12. A merchant buys 3 parcels of tobacco; the 1st contains 120 and two thousandths pounds; the 2d, 78 and two ten thousandths pounds; the 3d, 52 and two tenth pounds: how much did he buy in all? 13. What is the sum of 60 dollars and nine hundredths, 12 dollars and three tenths, 18 dollars and three thousandths, and 54 dollars and three hundredths? Ans. $144,423. 14. A puts in trade $1008,684; B puts in $700,3930; C puts $200,22; D puts in $198,668; and E puts in $18002,64: what is the whole amount put in? Ans. 15. B has $2808, A has $3 9 dimes and 3 mills: how much more money has B than A? Ans. 2804,097. 16. A merchant buys 75 yards of cloth at $1,50 per yard: what is the entire cost? Ans. 17. A farmer sells 26,24 cords of wood at $4,25 per cord, and 26 bushels of wheat at $1,06 per bushel; he is to take in payment 26 yards of cloth at $4,07 per yard, and the remainder in cash: how much money did he receive? Ans. $33,26. 18. If 24 men have each 678 dollars 3 dimes 8 cents and 6 mills, what is the total amount of their money? Ans. 19. If one man can remove 11,82 cubic yards of earth in a day, how much could 38 remove? Ans. 449,16yd. 20. What is the cost of 16,6 yards of cloth at $10,94 per yard? Ans. 21. If a man earns 1 dollar 1 dime 1 cent and 1 mill per day, how much will he earn in a year, if he do not work on Sundays? Ans. $347,743. 22. What will be the cost of seven hundred and fifty thousandths cords of wood, at $4 per cord? Ans. 23. A person leaves an estate of $2946,388 to be equally divided among 12 persons: what is each one's share? Ans. $245,532. RULE OF THREE, AND PROMISCUOUS QUESTIONS. 1. If 16 men perform a piece of work in 24 days, how many men would it require to perform the work in 12 days? Ans. 32 men. 2. Suppose a cistern has two pipes, and that one can fill it in 8 hours, the other in 43: in what time can both fill it together? 3. Two men and a boy were engaged to do a piece of work, one of the men could do it in 5 days, the other in 8 days, and the boy could do it in 10 days: how long would it take the three together to do it? Ans. 217. 4. If a man perform a journey in 22 days, when the days are 12 hours long, how many days will it take him to perform the same journey when the days are 15 hours long? 5. After laying out of my money, and of the remainder, I had 72 guineas left: how much had I at first? Ans. 120 guineas. 6. A reservoir has three pipes, the first can fill it in 12 days, the second in 11 days, and the third can empty it in 14 days: in what time will it be filled if they are all running together? 7. If the freight of 40 tierces of sugar, each weighing 3cwt., 150 miles, cost $42, what must be paid for the freight of 10hhd. of sugar, each weighing 12cwt. 50 miles? Ans. $12. 8. If a family of 14 persons spend $1120 in 8 months, how much will 9 of the same family spend in 5 months? 9. The quick step in marching is 2 paces per second, at 28 inches each: at what rate is that per hour, and how long will a troop be in reaching a place 20 miles distant, allowing a halt of half an hour for refreshment? Ans. {{ rate 32 miles 10. Two persons A and B are on the opposite sides of a wood which is 536 yards in circumference; they begin to travel in the same direction at the same moment; A goes at the rate of 11 yards per minute, and B at the rate of 34 yards in 3 minutes: the question is, how many times the quicker one must go round the wood before he overtakes the slower? 11. In the latitude of London, the distance round the earth measured on the parallel of latitude, is about 15550 miles. Now as the earth turns round in 23 hours 56 minutes, at what rate per hour does the city of London move from west to east? Ans. 6493 miles per hour. 12. A father left his through in 8 months; son a fortune, of which he ran of the remainder lasted him 12 months longer, when he had barely £820 left: what sum did his father leave him? 13. There are 1000 men besieged in a town with provisions for 5 weeks, allowing each man 16 ounces a day. If they are reinforced by 500 more and no relief can be offered till the end of 8 weeks, how many ounces must be given daily to each man? Ans. 63oz. 18 14. A father divided of his estate to one son, and of the remainder to another, leaving the remainder to his widow. The difference of the childrens' legacies was £514 6s 8d: what was the widow's portion? 15. Two persons, A and B, depart at the same time, the one from Boston and the other from Hartford, distant about 100 miles. After 7 hours they meet on the road, when it appears that A had rode 11⁄2 miles per hour faster than B: at what rate per hour did each traveller ride? 611 Ans. A 72, B 6 miles per hour. 16. What will be the cost of a piece of silver weighing 73lb. 5oz. 15put. at 5s 9d per ounce ? 17. If the penny loaf weighs 8 ounces when the bushel of wheat cost 7s 3d, what ought it to weigh when the wheat is 8s 4d per bushel? Ans. 6oz. 156 dr. 18. If one acre of land costs £1 7s 8d., what will be the cost of 173A. 2R. 14P. at the same rate? 19. A gentleman's estate is worth £2107 12s a year: what may he spend per day and yet save £500 per annum? Ans. £4 88 1d. 365 20. Four thousand soldiers were supplied with bread for 24 weeks, each man to receive 14oz. per day; but by some accident 210 barrels containing 2007b. each were spoiled what must each man receive in order that the remainder may last the same time? 21. Let us suppose the 4000 soldiers having one-fourteenth of their bread spoiled, to be put on an allowance of 13oz. of bread per day for 24 weeks: required the weight of their bread, good and spoiled, and the amount spoiled? Ans. { spoiled 42000lb. S whole weight 5880007b.; |