saying, 3 times 7 are 21, and one I carry, are: 22 shil. lings, 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? d. be 14 8 Answer, 2.5 2 & 3. A man has 10 Ingots of gold, each weighing 6lb. 40%. 10pwt. and 16gr. What is the whole weight? 1b. pwt. gr. 6 4 10 16 10 oz. 4. What is the weight of 7 anchors, each weighing 26Cwt. 3qr. 2016. Answer, 188Cwt. 2qr. 5. 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, 246bti. 1pk. 4gt. 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 exactly, multiply by two such numbers as come nearest to ir ; then multiply the multiplicand by the difference between the multiplier and product of the two nume bers, 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 anstver. EXAMPLES. 1. What will 72 yards of calico come to, at 2s. 7d. per yard? fa d. 2 9 Answer, 9 6 O price of 72 yards. 2. What will 38 gallons of brandy cost, at 10s. 6d. per gallon? £: S. do d. 0 10 6 or thus, 10 6 6 10 3 3 O price of 6 gal. 5 6 5 O price of 10 gal. 1 18, 18 O price of 36gal. 21 0 O price of 40 gale: 1 1 O price of 2 gal. 1 O price of 2 gal. 19 19 O price of 38gal. 19 19 O price of 38 gal. 3. What is the weight of 36 hogsheds of sugar, cach weighing 9Gwt. 1gr. 9lb. ? Anse 16T. 15Cwt. 3qr. 16lbo 4. What is the total weight of 48 dozen of silver spoons, each weighing 302. 14pwt. and 36 silver tankards, each weighing 17oz. 14prut. ? Ans. 23016. 8oz. 8pwt. 5. I have 76 pieces of cloth, each measuring 33 yards, iqr. 3na. What is the whole ? Ans. 2541yds. 1gr. 6. If a man travel 36 miles, 6 furlongs, 20 rods, in a day, how far will he travel in 95 days? Ans. 3497mi: 1furi 20rods. CASE .3. When the multiplier is above 144, first multiply by io, this product again by 10, and if the multiplier be even hundreds, multiply the last product by the num. ber, 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 285 94d. per yard ? d. 10 7 8} price of 10 yards. 10 13 17 17 1 price of 100 yards. 96 197 price of 700 yards. 6 3 price of 60 yards. 16 1. price of 4'yards. dns. £.105 16 11 price of 764 yards... 2. A man has 397 spoons, each weighing 18pwt. 4gr.. What is the whole weight ? Ans...3016. 12pwt. 4.gr." 3. Suppose I have 1590 boards, which contain each 20ft. 7in. What is the whole ? Ans. 32727ft. bin. 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. 155 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? d. 6) 6 6 price of 6 yards. ing Ans. O 5 price of 1 yard. 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 ? bu. pk. gt. pt. 12)2046 O 6 o produce of 96 acres 8)170 2 1. produce of 8 acres. Ans. 21 1* 2. 01 produce of 1 acre. 3. I£ 12 anchors weigh" 12T. 14Cwt. :gr. 10lba what will 1 weigh? Ans. 17. 1Cwt. Oqr. 2131b. 4 If 64 tea-spoons weigh 2lb. 6oz. 4pwt. whati does 1 weigh? Ans. Sprt. 10 gr. 5. I have 12t pieces of cloth alike, the whole of which asures 2896yds. 1gr. -3na. what does each piece measure ? Aris. 23yds. 3qr. 3na. CASE 2.2 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. |