the given price, and divide the quotient by it; ánd-if there be still a remainder of the given price, confider what aliquot part this is of the laft, and divide the laft quotient thereby; then add all the quotients together for the anfwer. Example 10. What is the value of 5cwt. of butter, at Std. per ib.? 6d. is of a fhilling 2)616 equal to 51cwt. [equal to 4d. 2d. is of 6d. therefore divide by 3)308 4. is of 2d. therefore divide by 4) 102 remains 2, or 3 of 6d. 25 remains 2, or of2d. 2,0)43,5 equal to id 21 Anfeuer 211. 155. 6d. In this example, I divide the given number first by 2, as 6d. is the nearest aliquot part to the price, and the quotient is 3085. which is the price at 6d. per lb. : I then divide that quotient by 3, for the other 2d. in the price, and it quotes 1025. which is the price of the article at 2d. per lb. and 2 remains; and for the halfpenny I divide the laft quotient by 4, as one halfpenny is the fourth part of 2d. and the quotient is 25. which is the price of the butter at a halfpenny per lb. : the three quotients added together give the answer. Example 11. What is the value of 137 yards of cloth, at 10 d. per yard? For the 6d. I divide by 2)137 For the 3d. I divide by 2) 68 remains 1, or 6d. 3. Qu. 12. What is the value of 520lb, of foap, at 74. per lb.?-Anf. 161. 5s. Qu. 13. What is the value of 860 yards of linen, at 11žd. per yard?-Anf. 411. 45. 2d. Cafe 20. Cafe 4. When the price is any number of fhillings under First. If it be an even number of fhillings, multiply the given number by half the price, and double the first figure on the right hand, which will be fhillings, and all the other figures are pounds. Secondly. If the price be an odd number of fillings, multiply the quantity by half the next lefs number, which will be an even number, then for the odd fhilling add of the given number to the laft product, and the fum of these two quantities will be the answer. Qu. 14. What is the value of 476 yards of cloth, at 45. per yard? Here I multiply the given number 476 by 2, half the price, faying, 2 times 6 is 12, which doubled is 24; I fet down the 4 Thillings, and carry the 1 pound 476 2 954 Anfwer 951. 45. to be added to the next product, faying, 2 times 7 is 14, and 1 I carried is 15, 5 and carry 1; then 2 times 4 is 8, and 1 is 9; then I cut off the first figure 4 for fhillings, and the reft are pounds. Example 15. What is the value of 462 yards of cloth, at 75. per yard? 2,0)46,2 3 138,12 23 2 Answer £161 14 In this example, 7 being an odd number, I take 3 for the multiplier (being the half of 6 the next even number), and multiply as in the former example, doubling the first number for fhillings, and the product is 138/. 125. which is the price of the cloth at 6s. per yard; then for the other fhilling I take a twentieth part of the given number, and the quotient is 237. 25. which is the price of the cloth at 15. per yard, and which, added to the former price at 6s. gives 1617. 14s, the answer. 2,0)279 yards at 35 per yd. 2,0)2880 yards at 195. per yd, Qu. 16. What is the value of 5514 yards, at 1s. per yard? -Anf. 2751. 145. Qu. 17. What is the value of 2468 yards, at 5s. per yard? Anf.6171. Note. When the price is 5s. as in the last question, the given number may be divided by 4, as 5 is of a pound, and the quotient is the answer in pounds. And when the price is 2s. it is done at fight, by doubling the firft figure on the right hand for fhillings, and the other figures are pounds. Example 18. What is the value of 896 gallons of cyder at 25. per gallon? Sol. 125. Anfwer. By this method of working by 25 a variety of examples may be wrought very expeditiously, by dividing the given price into parts of 25. each, and finding the value of the overplus, if any. Example 19. What is the value of 444 gallons of Hollands, at 5s. 9d. per gallon ? 444 gallons In this manner examples in this rule may be wrought, though the price confift of any number of fhillings and pence, and which would fuperfede the neceffity of fome of the following rules. I fhall nevertheless infert them, that the work appear not deficient. Cafe 5. When the price is fhillings and pence, which make an aliquot part of a pound, divide the given quantity by fuch aliquot part. Example 20. What is the value of 2796 dollars, at 3s. 4d. per dollar? 6)2796 Anfwer 4661. Here I divide the given number by 6, as 3s. 4d. is the fixth part of a pound. Qu. 21. What is the value of 3575 yards, at 15. 8d. per yard-Anf. 297l. 185. 4d. Qu. 22. What is the value of 2478 gallons of spirits, at 6s. 8d. per gallon ?—Anf. 8261. Qu. 23. What is the value of 2793 yards of linen, at 2s. 6d. per yard?-Anf. 3491. 2s. 6d. Cafe 6. When the price confifts of fhillings and pence, or fhillings, pence, and farthings, which do not make an. aliquot part of a pound, divide the given number by the greateft aliquot part of a pound that the price contains; and for the remainder of the price, if any, confider what aliquot part it is of the former aliquot part, and divide the quotient thereby; and if there ftill be a remainder of the price, confider what aliquot part it is of the laft aliquot part, and divide the last quotient thereby: and proceed in this manner as long as there is any remainder of the price: then the fum of all the quotients will be the answer. Example 24. What is the value of 3726 yards of cloth, at 75. 44. per yard? 3)3726 10)1242 In this example, I divide the given number by 3, for 6. 8d. as that is the third part of a pound; the quotient I again divide by 10, for the 8d. remaining, as 8d. is the tenth part of 6s. 8d.; and this quotient I again divide by 16, for the halfpenny, as that is the fixteenth part of 8d.: then the three quotients added together give the answer, Or the price may be divided into the aliquot parts of a pound, and then the given number must be divided by each of them; thus, in the foregoing example, the given number of yards may be divided by 5 for 4s. the fifth part of a pound, and 6 for the other 35. 44. the fixth part of a pound, and for the halfpenny the given number may be divided by 24, the aliquot part of a fhilling, and this laft quotient is fhillings; and the three quotients added together is the answer. Qu. 25. What is the value of 784 gallons, at 6s. 9d. per gallon?-Anf. 264). 125, Qu. 26. What is the value of 1464 gallons, at 125. 7d. per gallon?-Anf. 9211. 28. Cafe 7. When the price is pounds, fhillings, pence, and farthings, multiply the given number by the number of pounds, and the product is pounds; then for the remainder of the price, work according to fome of the former rules, as the cafe may require; and these fums added together will give the answer. Example 27. What is the value of 416 cwt. of fugar, at 21. 95. 3d. per cwt, ? |