3. Find the value of 23 lb. nutmegs, at 5/8. RULE IV. When the multiplier exceeds 156, we may multiply continually by 10 as many times minus one as there are figures in the multiplier, and then multiply the last product by the highest figure of the multiplier, the preceding product by the next inferior figure, and so on with the other figures. Then will the sum of these new products be the answer. Note. The following method is generally more convenient than that of the Rule. Reduce the given value of 1 to a uniform denomination, (if it is in several denominations,) and multiply the given quantity by it, and then reduce the product to the highest denomination by division. EXAMPLE. What is the value of 3457 gallons rum at 14/6. 1. Find the value of 357 yards cambric, at 5/34. 2. Find the value of 675 lb. wool, at 3/8. 3. Find the value of 783 feet of oak, at 1/3. 4. Find the value of 957 lbs. sugar, at 10 d. 5. Find the value of 2016 yards Osnaburgs, at 64d. 6. Find the value of 6827 lbs. cotton at 3/14. 7. Find the value of 9207 yards cotton bagging at 94d. 8. Find the value of 8695 yards sail-cloth, at 1/31⁄2. EXERCISES IN WEIGHTS AND MEASURES. 1. Multiply 18 tons 14 cwt. 3 qrs. by 9. 2. Multiply 30 lbs. 10 oz. 13 dwt. 18 grains by 12. 3. Multiply 15 cwt. 2 qrs. 25 lbs. by 15. 4. Multiply 19 cwt. 1 qr.. 17 lbs. by 25. PROMISCUOUS EXERCISES. 1. Find the amount of a piece of ground sold at 19 years' purchase, its yearly rent being £42: 14: 6. 2. How many half sovereigns may be coined out of 20 lbs. of gold, at the rate of 44 guineas per lb. ? 3. If scissors are bought at 4/9 per dozen pairs, and retailed at 64d. per pair, how much is gained by the sale of 5 dozen pairs ? 4. A sack of flour is baked into 80 quartern loaves; how much has the baker for his trouble in baking and retailing it, when flour sells at 58/ per sack, and the quartern loaf at 11d? : 5. A mechanic receives 14/6 a week, what do his wages amount to in 52 weeks? 6. A person's income is £150 a-year, and he spends, at an average, 3 guineas a-week; whether does he save money, or run in debt, and how much in the course of a year? 7. A person's income is £96 a-year, and he spends at an average 22/33 a-week; how much does he save yearly? 8. A retailer buys a hogshead of porter for £4:12:9, which fills 26 dozen bottles; how much will he gain by retailing it at 4/9 per dozen?. 9. What is the expense of painting a room which measures 83 yards, at 94d. per yard? 10. How much will the wages of 13 men amount to in 7 weeks, at 1/10 a-day each ? 11. Find the price of 10 bolls of meal, at 1/9 per peck. 12. Find the value of 100 English ells of muslin, at 2/8 per yard. 13. Find the value of 138 gallons port, at 3/74 per bottle, allowing 5 bottles to a gallon. 14. A bankrupt compounds with his creditors at 13/6 per £.; how much will A. receive, to whom he owes £425 ? 15. A person who spent at an average 18/44 a-day, saved 50 guineas last year; required his income? 16. Find the value of 62 lb. of gold, at the mint price; that is, at £3: 17: 10 per oz. ? 17. Find the weight of 32 bolls oats, at the rate of 14 stones 6 lb. 4 oz. Scotch troye per boll. 18. Find the weight of 1000 guineas, at the rate of 5 dwt. 9 grains per guinea. 19. Find the weight of 200 quarters barley, at 56 lb. avoirdupois - per bushel. E 20. If the interest of the national debt at present is 25/04 per second of time, how much does it amount to in 365 days? 21. A meal-seller bought 17 bolls oats, at 20/ per boll, which yielded 13 pecks of meal per boll; the expense of grinding was 1/6 per boll. He sold the meal at 1/10 per peck; how much did he gain by the sale of the whole? 22. A grocer bought 8 cwt. 1 qr. 7 lb. sugar for £40: 14: 7; of which he sold 2 cwt. 17 lb. at 1/ per lb. ; but the market falling, he got only 9 d. per lb. for the rest: required his gain or loss? COMPOUND DIVISION. RULE. Place the divisor on the left of the dividend, and, begin. ning with the highest denomination, divide the given number of that denomination as in Division of abstract numbers; if there be a remainder, reduce it to the next inferior denomination, adding to the product the given number of that denomination, if any; divide this sum as before, and proceed in the same manner with the other deno minations. EXAMPLES. 1. Divide £321: 17:04 by 47. 2. Divide 133 cwt. 2 qrs 11 lb. by 13. Cwt. qr. lb. Cwt. gr. lb. 13)133 2 11(10 13 282 RULE II. When the divisor does not exceed 12, divide mentally, and place the quotient under the dividend: and when the divisor is equal to the product of two or more numbers, none of which exceeds 12, divide mentally by those numbers successively. RULE III. When the divisor is 100, cut off two figures from the right of the given number of the highest denomination for a remainder, which reduce (as in Rule I.) to the next lower denomination; then cut off two figures, as before, from the right of the result, and reduce them to the next lower denomination; and so on, with the other denominations. The figures of the several denominations not cut off compose the quotient. Divide £252: 12: 1 by 100. 1. Div. £2962: 1:8 by 100. £2,52 12 1 20 2. 3. RULE IV. When the divisor consists of several denominations, reduce both divisor and dividend to one and the same denomination, and then divide as in Division of abstract numbers. The quotient is an abstract number. Divide £334: 7: 6 by 1. Div. £375: 17: 6 by £12: 2: 6. -£128 by £1:6:8. · £259:6:3 by £5:15:3. £137: 6. 2. 209 ac. 3 r. 15 po. by 12 ac 1 r. 15 po 1070 2675 2675 RULE V. When a fraction is annexed to the divisor, multiply both dividend and divisor by the under figure of the fraction, adding the upper figure to the product of the divisor, then divide the greater product by the less. |