Practical Questions in WEIGHTS & MEASURES. 1. What is the weight of 7 hhids. of sugar, each weighing 9 cwt. 3 qrs. 12 lb. P Ans. 69 cut. 2. What is the weight of 6 chests of tea, each weighing 3 cwt. 2 qrs. 9 lb. ? Ans. 21cwt. 1gr. 26lb. S. How much brandy in 9 casks, each containing 41 gals. 3 qts. 1 pt. P Ans. 376gals. Sqts. 1pt. measuring 27 yards, Ans. 971yds. 1gr. 4. In 35 pieces of cloth, each now many yards? 5. In 9 fields, each containing 14 acres, 1 rood, and 25 poles, how many acres? Ans. 129a. 2grs. 25rods. 6. In 6 parcels of wood, each containing 5 cords and 96 feet, how many cords? Ans. 54 cords. 7. A gentleman is possessed of 13 dozen of silver spoons, each weighing 2 oz. 15 pwt. 11 grs. 2 dozen of tea-spoons, each weighing 10 pwt. 14 grs. and 2 silver tankards, each 21 oz. 15 pwt. Pray what is the weight of the whole ? Ans. 8lb. 10oz. 2pwt. 6grs. COMPOUND DIVISION, TEACHES to find how often one number is contained in another of different denominations. Any sum in Federal Money may be divided as a whole number; for, if dollars and cents be written down as a simple number, the whole will be cents; and if the sum consists of dollars only, annex two cyphers to the dollars, and the whole will be cents; hence the following GENERAL RULE. Write down the given sum in cents, and divide as in whole numbers; the quotient will be the answer in cents. NOTE. If the cents in the given sum are less than 10, you must always place a cypher on their left, or in the ten's place of the cents, before you write them down. EXAMPLES. 1. Divide 35 dollars 68 cents, by 41. $28 41)3568(87 the quotient in cents; and when there is any considerable remainder, you may annex a cypher to it, if you please, and divide it again, and you will have the mills, &c. 288 287 Rem. 1 2. Divide 21 aollars, 5 cents, by 14 14)2105(150 cents 1 dol. 50 cts. but to bring cents into dollars, you need only point off two figures to the right hand for cents, and the rest will be dollars, &c. 14 70 ΤΟ 5 3 Divide 4 dols. 9 cts. or 409 cts. by 6. Ans. 68 cts + 4. Divide 9 dols. 24 cts. by 12. Ans. 77 cts. 5 Divide 97 -dols. 45 cts. by 85. 6. Divide 248 dols. 54 cts. by 125. Ans. $1 14cts. 6m. Ans. 198cts. 8m.=$1 98cts. 8m. 7. Divide 24 dols. 65 cts. by 248. PRACTICAL QUESTIONS. Ans. 40cts. Ans. 25cts. Ans. Scts.+ 1. Bought 25lb. of coffee for 5 dollars; what is that a pound P Ans. 20cts. 2. If 131 yards of Irish linen cost 49 dols. 78 cts. what is that per yard? Ans. 38cts. 3. If an cwt. of sugar cost 8 dols. 96 cts. what is that per pound ? Ans. 8cts. 4. If 140 reams of paper cost 329 dols. what is that per ream? Ans. $2 35cts. 5. If a reckoning of 25 dols. 41 cts. be paid equally among 14 persons, what do they pay a piece? Ans. 81 81 cts. 6. If a man's wages are 255 dols. 80 cts. a year, what is that a calendar month ? Ans. 819 65cts. 7. The salary of the President of the United States, is twenty-five thousand dollars a year; what is that a day? Ans. 868 49cts. 2. To divide the denominations of Sterling Money, Weights, Measures, &c. RULE. Begin with the highest denomination as in simple division; and if any thing remains, find how many of the next lower denomination this remainder is equal to ; which add to the next denomination; then divide again, carrying the remainder, if any, as before; and so on, till the whole is finished. PROOF-The same as in Simple Division. 2. When the divisor exceeds 12, and is the product of two or more numbers in the table multiplied together. RULE. Divide by one of those numbers first, and the quotient by the other, and the last quotient will be the answer. 3. When the divisor is large, and not a composite number, you may divide by the whole divisor at once, aftor inanner of long division, as follows, viz. EXAMPLES. Divide 1287. 13s. Sd. by 47. 47)128 13 3(2 14 9 quotient. 34 pounds remaining Multiply by 20 and add in the 18s. produces 693 shillings, which divided by 47, gives 14s. in the quotient. 47 225 188 35 shillings remaining. Multiply by 12 and add in the Sd. produces 423 pence, which divided as above, gives 423 [9d, in the quotient |