saying, 3 times 7 are 21, and one I carry, are 22 shillings, equal to 1 pound and 2 shillings; 2 being set down, I say, 3 times 3 are 9, and 1 that I carry, are 10, which I set down. . 2. What will 7 yards of cloth cost, at £.0 14 8 per yard? 4.9 S. d. Answer, £.5 3. A man has 10 Ingots of gold, each weighing 6lb. 4oz. 10pwt. and 16gr. What is the whole weight? lb. 02. pwt. 4 gr. Answer, 63 9 6 16 4. What is the weight of 7 anchors, each weighing 26Cwt. 3qr. 20lb. 5. Answer, 188Cwt. 2qr. What number of acres are there in 8 fields, each containing 29 acres and 17 rods? Answer, 232A. 136rods. 6. If 1 acre of land produce 27 bushels, 1 peck, and 4 quarts of corn, what will 9 acres produce at that rate? Answer, 246bu. 1pk. 4qt. CASE 2. When the multiplier is above 12, and produced by any two numbers multiplied together, multiply the multiplicand by one of the numbers first, and the product by the other; then the last product will be the answer, If no two numbers will produce the multiplier ©Ke actly, multiply by two such numbers as come nearest to is; then multiply the multiplicand by the difference between the multiplier and product of the two numbers, and add this product to the last product, if the product of the two numbers were less than the multiplier; but if more, subtract, and the result will be the answer. EXAMPLES. 1. What will 72 yards of calico come to, at 2s. 7d. per yard? ५० 1 3 3 price of 9 yards. 8 Answer, 9 6 O price of 72 yards. 2. What will 38 gallons of brandy cost, at 10s. 6d. per gallon? £• S. d. £. s. d. 0 10 6 or thus, 0 10 6 3. What is the weight of 36 hogsheds of sugar, each weighing 9Cwt. 1qr. 9lb.? Anse 16T. 15Cut. 3qr. 16. 4. What is the total weight of 48 dozen of silver spoons, each weighing 3oz. 14pwt. and 36 silver tankards, each weighing 17oz. 14pwt.? Ans. 230lb. 8oz. 8pwt. 5. I have 76 pieces of cloth, each measuring 33yards, 1qr. 3na. What is the whole ? Ans. 2541yds. 1qr. 6. If a man travel 36 miles, 6 furlongs, 20 rods, in a day, how far will he travel in 95 days? Ans. 3497mi. 1fur 20rods. When the multiplier is above 144, first multiply by 10, this product again by 10, and if the multiplier be even hundreds, multiply the last product by the number of hundreds, and you will have the product required; but if there are odd numbers in the multiplier, multiply the first product by the number of tens, and the multiplicand by the number of units; then the sum of the products will be the answer. EXAMPLES. 1. What will 764 yards of chintz come to, at 2s. 91d. per yard?. Ans. £.105 16 11 price of 764 yards. 2. A man has 397 spoons, each weighing 18pwt. 4gr.. What is the whole weight? Ans. 30lb. 12pwt. 4gr. 3. Suppose I have 1590 boards, which contain each 20ft. 7in. What is the whole ? Ans. 32727ft. 6in. 4. What is the whole quantity of molasses in 184 hogsheads, each containing 68gal. 2qt. 1pt. ? Ans. 12627gal.. 5. If a horse run a mile in 11 minutes, 15 seconds, in what time would he go 273 miles ? Ans. 2d. 3h. 11m. 15s. COMPOUND DIVISION. Compound Division teaches to divide a number of several denominations. CASE 1. When the divisor does not exceed 12, begin at the highest denomination, and find how many times the divisor is contained in it; which, being found, place under its own denomination; and if anything remain, reduce it to the next less denomination, to which add the number in that denomination, and divide as before; so proceed thro' all the denominations of the dividend. If the divisor be above 12, and produced by the multiplication of two small numbers, divide by one of the numbers, this quotient again by the other; and the last product will be the answer. EXAMPLES. 1. If 6 yards of broadcloth cost £.4 6s. 6d. what will 1 yard cost? In this example, finding I cannot have the divisor in the first denomination, which is pounds, I reduce it to the next denomination, or shillings, and add in the 6 shillings, which make 86, in which the divisor is contained 14 times, and 2 remain; I set down 14, and reduce the 2 shillings to pence, adding in the 6 pence, which make 30; then finding the divisor is, contained 5 times in 30, I set down 5, and the work is done. 2. If 96 acres of land produce 2046 bushels, 6qts. of corn, what is the produce of 1 acre? 3. If 12 anchors weigh 12T. 14Cwt. 1qr. 10lb. what will 1 weigh? Ans. 1T. 1Cwt. Oqr. 215lb. 4. If 64 tea-spoons weigh 2b. 6oz. 4pwt. what does 1 weigh? Ans. 9pwt. 101gr. 5. I have 121 pieces of cloth alike, the whole of which measures 2896yds. 1gr. 3na. what does each piece measure? Aris. 23yds. 3qr. 3na. CASE 2. When the divisor is such a number as cannot be produced by the multiplication of small numbers, divide after the manner of long division, setting down the work of dividing and reducing. |