and 2 farthings remaining. We set down the 2 farthings and carry 4 to the next product. We then say 9 times 8 pence are 72 pence, to these we add the 4 pence, which make 76 pence, which we divide by 12, the number of pence in a shilling, and find the result to be 6 shillings and 4 pence, we set down the pence and carry the 6 shillings to the next product. We then say 9 times 5 shillings are 45 shillings, to these we add the 6 shillings, and the sum is 51 shillings, which are equal to 2 pounds and 11 shillings. We set down the il shillings, and carry the 2 pounds to the next product, and then say 9 times 14 pounds are 126 pounds, to these we add the 2 pounds, and the sum is 128 pounds, which we set down under the pounds in the multiplicand, and the work is finished, and the answer is £ 128. 11s. 4d. 2qr. Hence we perceive, that when the quantity is less than 12, we may adopt the following RULE. Multiply each denomination of the compound number, beginning at the lowest, by the multiplier, and carry as in Compound Addition. 8 12 1 45 32.7 24 Note. The answers to the following questions are found in the corresponding numbers in Compound Division. 14. What cost 7 yards of cloth at 18s. 9d. per yard ? 15. If a man travel 12m. 3fur. 29rd. in one day, how far will he travel in 9 days? 16. If 1 acre produce 2 tons 13cwt. 191b. of hay, what will 8 acres produce ? 17. If a family consume 49galls. 3qts. 1 pt. of molasses in 1 month, what quantity will be sufficient for one year? 18. John Smith has 12 silver spoons, each weighing 3oz. 17dwt. 14gr., what is the weight of all ? 19. Samuel Johnson bought 7 loads of timber, each measuring 7 tons 37ft. ; what was the whole quantity ? 20. If the moon move in her orbit 13°. 11'. 35'. in 1 day, how far will she move in 10 days ? 21. If 1 dollar will purchase 2lb. 83. 73. 17. 10gr. of ipecacuana, what quantity would 9 dollars buy? 22. If 1 dollar will buy 2A. 3R. 15p. 30yd. 8ft. 100in. of wild land, what quantity may be purchased for 12 dollars ? 23. Joseph Doe will cut 2 cords 97ft. of wood in 1 day ; how much will he cut in 9 days ? 24. If 1 acre of land produce 3ch. 6bu. 2pk. 7qt. Ipt. of corn, what will 8 acres produce ? II. If the quantity be such as may be resolved into two or more factors, that is, two or more numbers, whose product shall be equal to the quantity, the compound number may be multiplied by 1 of those numbers, and the product by the other, and the last product will be the value of the whole quantity. 25. What cost 24 yards of broadcloth at £ 2. 7s. 11d. per yard? * d. Or we £. d. In this question, we find the quanti£ ty 24 equal to the product of 4 and 6, 2 7 11 we therefore multiply the price first by 4, and then that product by 6, and the 9 11 8 last product is the answer. 6 might have multiplied first by 6 and 57 10 0 then by 4, and the answer would have been the same. 26. What cost 360 tons of iron at £17. 16s. 1d. per ton ? In this question, we find the factors 17 16 1 of 360 to be 6 and 6 and 10, that is, 6 6 multiplied by 6 are 36, and 36 multiplied 106 16 6 by 10 make 360. We then first multi 6 ply by 6, and then that product by 6, and then again the last product by 10. 640 19 0 The result wolud have been the same, 10 if we had multiplied by 10 first. 6409 10 0 27. It' a man travel 3m. 7fur. 18rds. in one day, how far would he travel in 30 days ? 28. If a load of hay weigh 2 tons 7cwt. 3qrs. 181b., what would be the weight of 84 similar loads ? 29. When it requires 7yds. 3qr. 2na. of silk to make a lady's dress, what quantity would be sufficient to make 72 similar dresses ? 30. A tailor has an order from the navy agent to make 132 garments for seamen ; how much cloth will it take, supposing each garment to require 3yds. 2qr. Ina.? III. When the quantity is more than 12, and the number is such, that it cannot be resolved into two or more factors, the better method is to find the factors of a number nearest the given number, and having multiplied the compound number by one of these factors, and the product by the other factor, then find the value of the remaining quantity and add it to the last product. 31. If 1 dollar will buy 17lbs. 10oz. 13dr. of beef, how much may be bought for 62 dollars ? OZ. lb. OZ. dr. 5 Ib. dr. As 62 is not the 17 10 13 product of any two 2 numbers in the mul88 6 1 35 5 10 tiplication table, we 12 take some conveni1060 8 12 ent number less than 62, viz. 60. 35 5 10 This we resolve into two factors 5 1095 14 6 and 12, and having found the amount of 60 dollars, we then find the quantity 2 dollars will buy, and add this amount to the former, and the sum is the quantity 62 dollars will buy. 32. What cost 97 tons of lead at £2. 17s. 9 d. per ton ? 33. If a man travel 17m. 3fur. 19r. 3yd. 2ft. 7in. in one day, how far would he travel in 38 days ? 34. If 1 acre will produce 27bu. 3pk. 6qt. 1pt. of corn, what will 98 acres produce ? 35. If it require 7yd. 3qr. 2na. to make 1 cloak, what quantity would it require to make 48 cloaks? 36. One ton of iron will buy 13A. 3R. 14p. 18yd. 7ft. 76in. of land ; how many acres will 19 tons buy? Section 17. COMPOUND DIVISION. MENTAL OPERATIONS. 1. If 2 yards of cloth cost 3s., what will 1 yard cost ? 2. If 3 barrels of apples cost 5s., what cost 1 barrel ? 3. If 4hhds, of lime cost 15s., what cost lhhd. ? 4. Divide 9s. equally among 9 boys. 5. Divide 10d. equally among 3 girls. 6. What is a fourth part of 5 gallons ; 7. What is a seventh part of 7 gallons ? 8. What is a sixth part of 9 gallons ? FOR THE SLATE. 1. If 9 acres of land cost £ 128. 11s. 8d. 2qr., what is the value of 1 acre ? Ans. £ 14. 5s. 8d. 2qr. OPERATION. 8. d. qr. Having divided the pounds by £. 9, we find the quotient to be 9) 128 11 4 2 £ 14, which we write under 14 5 8 2 £ 128, and to the £2. remain ing (40s.) we add the 11s. in question, and their amount is 51s. ; and these 51s. we again divide by 9, and the quotient is 5s., which we write under the Ils. in the question ; and to the remainder, 6s., which are 72d., we add the 4d. in the question, and the sum is 76d. ; having again divided these by 9, we write the quotient, 8, under the 4d. in the question ; and to the remainder, 4d., which is 16qr., we add the 2qr. in the question, and the amount is 18qr., which we again divide by 9, and find the quotient to be 2qr., which we write under the 2qr. in the question. Thus we find our answer to the question to be £ 14. 5s. 8d. 2qr. Hence the following RULE. I. Divide the highest denomination by the quantity; and if any thing remains, reduce it to the next lower denomination, and continue to divide until it is reduced to the lowest denomination. 2. 3. 4. f. £ 2) 10 13 4 3) 58 14 9 9 7 5 6 8 19 11 7 2 5 17 11 8. £. d. d. 5) 129 oz. Ton. cwt. qr. lb. 5. 6. £. d. qr. Cwt. qr. lb. 6)112 14 4 2 6)113 1 21 12 7) 103 11 0 0 18 15 8 3 18 3 17 10 14 15 3 12 8. 9. lb. OZ. 10. M. fur. rd. ft. dr. 8) 15 4 2 15 5 6) 587 4 8 12 19 1 8 15 15 14 13 11. m. 12. 13. Fur. rd. it. in 8) 145 32 7 24 9) 213 2 0 9 10)98 0 4 2 Note. The answers to the following questions are found in the corresponding numbers in Compound Multiplication. 1 |