Note. In this example 11 cents and 5 mills are exactly equal to 115 thousandths of a dollar; therefore, I multiplied the price by the quantity, the product was 15000; and according to the rule in the multiplication of decimals I pointed off three figures from the right or decimals, the rest were dollars. 2. How much will 349 pounds of pork come to at '07 cents per pound? Ans. 24 dolls. 43 cents. 3. How much will an ox come to, whose weight and prices are as follows, viz.-The quarters 205-5, 202, 207 and 200 lbs. at :06 cents; the hide 70 lbs, at :07 cents; the tallow 66 lbs. at 09 cents lb. Ans. 59 dolls. 71 cts. 0 m. 4. A drover sold 100-lambs in 5 separate lots, 20 to a lot; the first lot was sold for $1.96 cents each; the second for $1.90 cents; the third for $2.05 cents; the fourth for $2.10 cents; and the fifth at $2.15 cents: I demand the price of the whole. Ans. $203.20 cts. Signed G. H. Received payment by note, payable in 90 days. CASE II. When there are fractions in the quantity such as 11, 135 &c. RULE. Reduce the vulgar fraction to a decimal, then multiply the quantity and price together, point off for decimals according to rule; all that are on the left of the separatrix are dollars, and all on the right are parts, viz. dim es, cents, and mills. Examples. 1. What will-1022 yards of India cotton come to at 29 cents per yard? Yds.. Cts. Dolls. cts. m. NOTE. In this example reduced to a decimal, gave two decimal places in the quantity, and there were two decimal places in the price; of course there were four places of decimals in the product; the three first figures in decimals, are cents and mills, and the other is parts of a mill, which in business is not worth noticing. 2. What will 214 yards of velvet come to, if 1 dollar 25 cents are paid for 1 yard? Ans. $26.87 cts, 5 m. 3. What will 6 of a yard of broadcloth come to at 6 dollars 75 cts. per yard? Ans. $45.56 cts. 24 m. CASE III. When there are several denominations in the RULE. Reduce the several denominations to the decimal of the highest, by case 2, in reduction of decimals; then multiply the price and quantity together, point for decimals according to rule; the "answer will be dolls. cts. and m. and parts of m. Examples. 1. How much will 3 cwt. 2 qr. 20 lbs. of sugar come to at $12.10 cts. per cwt. ? cwt. 3.678 x12.10844 50 cts. 3m. Ans. NOTE.-2.qr. 20 lb. reduced to the decimal of a cwt. is equal to 678 thousandths, which I annexed to the hundreds, and multiplied by the price. 2. How much will 173 cwt. 3 qr. 27 1 come to, at $5.51 cts. per cwt.? lb. of iron Ans. $958-69† cts. 3. How much will 356 acres, 1 rood, and 7 rods of land come to, at $17.21 cts. per acre? Ans. $6131.80 cts. 2† m. 4. What will 64 tons, 3 cwt. of potash come të, at $84.50 cts. per ton? Ans. $5420.67 cts. 5 m. 5. What will 38 cwt. 3 qr. 21 lbs. of sugar come to, at $11.52 cts.per cwt.? Ans. $448-55 cts. 4t m. 6. What will the wages of a servant come to for 70 years, 3 mo. 15 d. allowing 26 days to a month, and 12 months to a year, at $6.71 cts. 5 m. per year ? Ans. $472.05 cts. 1m. CASE IV. Rules concerning boards, plank and other articles that are sold by the thousand, or hundred. RULE. If the article is sold by the thousand, place a separatrix between the thousands and hundreds; the hundreds, &c. are decimals of a thousand; if the article is sold by the hundred place the separatrix between the hundreds and tens; the tens are decimals of an hundred; then multiply the price and quantity together the product is the an swer. Examples. 1. How much will 10751 feet of boards come to, at $11.21 cents per thousand? Feet. D.cts. D.cts.m. dod 10-751 x 1121—120-518† Ans. 2. How much will 1100 ft. of plank come to, at 33 dollars per thousand? Ans. $36.30 cts. 3 How much will 941 feet of clear boards come to at $25 per thousand? Ans.$23.52 cts. 5 m. 4. How much will 627 hoops come to, at $1.27 cts. per hundred? 6•27×1·27=$7.96† Ans. CASE V. To multiply by fractional parts. RULE.-Multiply by the numerator and divide by the denominator, the quotient is the answer. Examples. 1. What is the value of of a ship, worth $10000 ? 10000 x 8 80000 ÷ 10 $8000 Ans. 2. What is of a house worth, which is valued at $3470? Ans. $2478.57.11. CASE VI. Of Weights and Measures. RULE. If the number is less than 12, multiply the weight of one by the number; observing to carry as in compound addition; if the number is more than 12, multiply by two such numbers as will make the number required; if there are no two such numbers, multiply by two such numbers as will come nearest, and for the other numbers add, or subtract as the case may be. Examples. 1. What is the weight of 9 casks of raisins, each weighing 3 cwt. 2 qr. 11 lb, 6 oz. ? Cut. gr. lb. 02. 3 2 11 2. What is the weight of 56 casks of raisins ; each weighing 1 cwt. 2 qrs. 12 lb. ? Ans. 90 cwt. 3. What is the weight of 105 casks of tobacco; each weighing 3 cwt. 1 qr. 7 lb. ? E Ans. 347 cwt. 3 qr. 7 lbs. |