9. What is the cost of 16 A. of land at $125.5 an acre? Ans. $2012.70625. 10. If a man travel at the rate of 31.15 mi. a day, how far will he travel in 14.375 days? Ans. 447.78125 mi. 11. If a man travel at the rate of 31.5 mi. a day, in how many days can he travel 204.75 mi.? Ans. 6.5 d. 12. If 18.75 lb. of meat cost $2.34375, how much will 1 lb. cost.? Ans. 12.5 cts. 13. If I trade 15 lb. of butter at 37.5 cts. a pound for coffee at 18.75 cts. a pound: how many pounds of coffee do I get? Ans. 31 lb. 14. A man bought a farm of 45.375 A. for $7260: how much did it cost him per acre? Ans. $160. 15. Exchanged 3.5 T. of coal at $4.80 a ton for lath at 30 cts. a hundred: how many lath did I get? Ans. 5600. CHAPTER VI. DENOMINATE NUMBERS. SECTION I. DEFINITIONS. 89. A Concrete Number is one which is applied to a particular unit; as, 3 sheep, 2 pounds, etc. 90. A Denominate Number is one whose unit is named; as, 6 gallons, 3 inches, etc. Denominate numbers are always concrete 91. Numbers are of the same denomination when they have the same unit; as, 2 pints, 7 pints, etc.. 92. A Compound Number is one consisting of several denominate numbers, but of the same measure; as, 6 feet 3 inches. SECTION II. TABLES AND MEASURES. VALUE. NOTE.-United States Money has been considered on page 66 and the pages following. ENGLISH CURRENCY. 93. English Currency is the money used in Great Britain and Ireland. 1. How many farthings in 3 d.? In 5 d.? In 120 d.? In 6 s.? 6. How many £ in 480 d.? In 80 s.? WRITTEN PROBLEMS. 1. Reduce 2 £ 3 s. to shillings. SOLUTION. 2 £ 3 s. 20 40 3 43 s. Explanation. Since 1 £ equals 20 s., 2 £ equal 2 times 20 s., or 40 s.; 40 s. plus 3 s. are 43. 2. Reduce 975 d. to £, etc. SOLUTION. 12)975 d. 4 £ 1 s. Explanation. Since 12 d. equal 1 s., in 975 d. there are as many shillings as 12 is contained times in 975, or 81 s. 3 d. Since 20 s. equal 1 £, there are as many £ in 81 s. as 20 is contained times in 81, or 4 £ 1 s. 94. Avoirdupois Weight is used in weighing proluce, coal, iron, groceries etc. 1 ton = 20 cwt. = 80 qr. = 2000 lb = 32000 oz. 1 lb. avoirdupois equals 7000 grains. The long ton, equal to 2240 lb., is used in collecting duties at the United States custom-houses and in selling 56 60" of rye or Indian corn, of wheat, potatoes or clover seed, 56 66 of butter - 1 barrel. = 1quintal. = 1 keg. 1. How many ounces in 3 lb.? In 5 lb.? 4. I exchange 2 cwt. 3 qr. of flour at 2 cts. a pound for muslin at 10 cts. a yard: how many yards do I get? Hence, 6 T.1 cwt. 3 qr. = 487 qr. Hence, 2750 lb. 1 T. 7 cwt. 2 qr. Let the pupil explain. 3. Reduce 6 T. 3 cwt. to hundred-weight. Ans. 123 cwt. 4. Reduce 18 T. 1 cwt. 22 lb. to pounds. 5. Reduce 2300 lb. to tons, etc. Ans. 36122 lb. Ans. 1 T. 3 cwt. 6. What is the value of 1 T. 4 cwt. of flour at 2 cts. a pound? Ans. $60. 7. What will 16 bbl. of flour cost at 24 cts. a pound? Ans. $86.24. 8. How much will 3 T. of wheat cost at $1.10 a bushel? Ans. $110. 9. A farmer sold 60 bags of wheat, each weighing 183 lb., at $1.15 a bushel : how much did he get for his wheat? Ans. $210.45. 10. What is the value of 40 bu. of clover-seed at 131 cts. a pound? Ans. $324. TROY WEIGHT. 95. Troy Weight is used in weighing gold, silver, gems and jewels. TABLE. 24 grains (gr.) = 1 pennyweight, dwt. Oz. lb. 1 lb. Troy = 12 oz - 240 dwt. - 5760 gr. APOTHECARIES' WEIGHT. 96. Apothecaries' Weight differs from Troy weight in the division of the ounce. It is used in weighing med |