To reduce the different denominations of Money, Weight, Mea sure, &c. to a Decimal. RULE. Place the several denominations above each other letting the highest denomination stand at bottom, then divide each denomination, (beginning at the top) by its value in the next denomination, the laft quotient will give the decimal required. Examples. 1. Reduce 6s. 51d. to the decimal of a pound. R 1 4/1 125 206.4375 .321875 Anf. educe 8 oz. 12 dwts. 14 grs. to the decimal of a pound 2414 2012 5833 12 8.629165 3. Reduce 10s. 8d. to the decimal of a pound. Ans. 5333+ 4. Reduce 19s. 4d. to the decimal of a pound. Anf. 96665 Ans .04375 5. Reduce 10 d. to the decimal of a pound. 9. Reduce 3qrs. 3 nails to the decimal of a yard. Anf.625 Anf .9375 10. Reduce 7cwt. 3qrs. 17lb 10 oz. 12 drs. to the decimal of a Tun. Ans · 39538+ 11. Reduce 3bus. 1pk. Igal. to the decimal of a barrel. Anf.675 12. Reduce 37gal. 1pot. 1qt. to the decimal of a Hnd. 13. Reduce 5fur. 12po. to the decimal of a mile. 14 Reduce 4 perches to the decimal of an acre. 15. Reduce 7 minutes to the decimal of a day. Ans 5992 Anf.6625 Ans 00480+ 16. Reduce 3cwt. 2qrs. 14lb. to an Cwt. Anf 3.625 To find the value of any given Decimal in the terms of the Inte ger. RULE.-Multiply the given decimal, by the number of parts in the next inferior denomination, pointing off the deci mals from the product, then multiply the remainder by the next inferior denomination; thus proceeding, till you have. brought in the least known parts of the integer. Examples. 1. What is the value of 7854166 of a pound? .7854166 20 15.7083320 12 8.4999840 4 1.9999360 Anf 15s. 84d.+ 2. What is the value of .0375 of a pound. 4. What is the value of . 625 of an Cwt.? Ans. gde Ans. 8oz. 8dwt. Anf. 2qrs. 14lb. 5. What is the value of. 075 of a gallon? Ans. 2 gills + 6. What is the value of . 675 of a barrel? Anf. 3bus. 1pk. Igal. 7. What is the value of . 5 of a year? 8. What is the value of .9375 of a yard? 9. What is the value of .3375 of an acre? 10. What is the value of .625 of a fhilling? 11. What is the value of 761 of a day? Ans. 18h0. 15min. 50 .4 feconds. 12. What is the value of .4712 of an Ell English? Ans. 2qr. 1.424 na. The Single Rule of Three. THE SINGLE RULE OF THREE is that wherein three numbers or terms are given, two of which are of one kind, to find a fourth proportional number of the same name with the other given terms; and this confists of two proportions, via. Direct and Inverfe. Rule for Stating, &c. Of the two fimilar terms, fet that in the first place which implies the fuppofition, that of the fame kind with the term fought in the fecond place, and that on which the demand lies in the third-If the firft and third be not of one denomination, reduce both to the lowest in either, and the fecond to the loweft given denomination; then confider whether the proportion -be direct or inverfe. Direct Proportion. DIRECT PROPORTION is that wherein the third term is greater than the firft, and requires the fourth term to be greater than the second; or the third less than the first, and requires the fourth to be less than the fecond; for, as often as the third term is greater or lefs than the first, so many times will the fourth be greater or less than the second; thus: RULE-Multiply the fecond and third terms together, and divide the product by the firft; the quotient will be the fourth, or answer to the queftion, in the fame denomination with the fecond, or into which it was reduced. Proof. STATE the queftion anew, changing the first and third terms, putting the answer in the place of the fecond term: when the work is right, the new anfwer will be the original fecond term. NOTE.-Many of the operations of the questions belonging to this rule may be thortened by dividing the dividing term, and either of the other two, one by the other, or by any number that will divide them both without remainder, and using their quotients in their stead, cancelling the figures so contracted, as denoted by this dash ', in the two subsequent examples. Thus: If 24 yards cost 60 dollars, what are eight yards Worth? If 81%. of tobacco coft 56 cents, what will 486416. come to? 2. If 16. of allspice cost 2s. 6d. what will 420lb coft? Answer-52 10s. od. 3. What is the value of 19 yards of muslin at 295. 6d. per yard? Anf. £28 os. 6d. 4. If 202s. of twist cost 2s. 6d. what will 7lbs. cost? to? Anf. £.7 os. od. 5. What is the value of 3 cwt. of coffee at 1od. per pound? Anf. £.25 45. od. 6. If 1 pair fhears cost z/. 3d. what will 19 dozen pair come Anf £.25 135. od. 7. What is the value of 5 pieces linen, each 12 Ells, at 4/ Anf. £.13 10. od. 6d. per Ell? 8. What is the value of a tankard which weighs 2lbs, at 5f 67. per oz? Anf. £.6 12. od. 9. How many yards of lace may be purchased for £.100 at 3f. 6d. per yard? Anj. 5713 yds. 10 A perfon bought a piece of cloth with £.22 10. at 15. per yard, how many yards did it contain? Anf. 30 yds. 11. What will 15 cwt. I qr. 19 lb. fteel come to at 15d. per pound? Anf. £.107 18. gd. 12. If a man spends 15d. per day, how much is that a year? Anf. £.22 16s 3d. 13. At a noble per week, how many months board may I have for £.30? Anj. 22 months? 14. What will 500 acres of land come to at 8 dollars 50 cents per acre? Anfwer-4250 dollars. 15. If 75 lbs. of sugar coft .2 19s. 4 d. what will 7 cwt. 2 qrs. 18lbs. come to at the fame rate? Ans.33 19. 3d. 16. When the tun of wine costs £.60, what is that per gal Ion ? 17. If you purchase 420 yards of cloth at English, how much does it cost? 18. If I purchase 750 acres of land with it coft per acre? Anwer-4s. 9gd. 10s. 11d. per Ell Ans. £.184 25. od. 587, what does Ans. 155.71d. 19. A merchant bought 142 sacks of salt, containing 4 bufhels each, at 35. 11d. per bufhel, how much had he to pay? Ans. £27 25. 8 d. 20. If 100 lbs. of Nutmegs coft £.15 125. 8d. what will 36 cwt. 2qrs. 20 lbs. come to, at the fame rate? Ans. £.642 45. 44d. 21. When 2 yards linen coft 135. 7d. what will 52 yards come to? Ans. £.15 175. 5d. 22. If my eftate is worth £.500 10s. per annum, and my daily expence be 16s. 93, what fum have I at the years end? Anj. £.193 13/. 51d. N |