8. Find how many hhd s. bs. and fns. and of each a like number, are in 8 tons 1 bl. 18 gs. of London beer. Anf. 18. DRY MEASURE. 1. In 47 qrs. 5 brs. 2 pks. of corn; how many pecks? grs. bls. pks. 47 5 2 8 381 pks. 8) 381 2 pks. 4 47 5 2 Proof grs. bls. pks. 1526 Anf. 2. Find how many gallons are in 9 lasts. 4 qrs. 2 bls. I 1 pk. of corn. Anf. 6034. 3. Bring 4187210 pints of corn to lafts, &c. Anf. 817 lafts. 8 qrs. I bl. I gn. 2 pts. 4. In 97 chaldrons of coals; how many pecks? Anf. 13968. I 5. How many chaldrons of coals are in 87121 pks. ? Anf. 605 c. chs. 1 pk. 6. In 37 facks of coals, each 3 bushels; how many pecks? Anf. 518. 7. How may carts, each containing 18 bls. 2 pks. will 83 chaldrons, 17 bls. of coals fill? Anf. 162-8 bls. over. 8. Find how many chaldrons of coals are equal to 187 facks, each 9 bls. 7 Anf. 48 c. chs. 1 bl. 3 pks. 9. How many facks of lafts. 11 pecks each, will hold Anf. 212-2 bls. over. 1. Find how many feconds are equal to a Julian year. 2. In 175 ds. 11 hs. 17 ms. 18 fs. ; how many thirds? Anf. 909577080. 3. Bring 2418671200 thirds to years, &c. Anf. 1 yr. 101 ds. 13 hs. 33 ms. 6 ss. 40 ths. 4. How many minutes are equal to 17 ms. I wk. 4 ds. 11 hs. 17 ms. Anf. 701957. ? 5. From one change. of the moon to another is 29 days 12 hs. 44 ms, 3 fs.; how many feconds in all? Anf. 2551443. 6. From the birth of Chrift till Christmas 1790; how many feconds, minutes, and hours, reckoning 365 days, 5 hs. 48 ms. 58 fes. to a year? Anf. 56486919020 feconds minutes 20 ss. over hours- 50 ms. over 7. From March 12th, to November 19th following,. inclufive; how many days? Anf. 253. 8. How many feconds of time are there between the 10th day of October, and the 14th day of March followAnf. 13305600. ing? THE THE SINGLE RULE OF, THREE THE fingle rule of three teacheth, by having three numbers or quantities given, to find a fourth either in direct or inverted proportion. N O T E. Direct proportion is when the fourth mumber or term bears the fame proportion to the third, as the first does to the fecond. Inverted, or reciprocal proportion, is when the fourth number or term bears the fame proportion to the second, as the firft does to the third. Direct and inverted proportion are only, different parts of one rule, and are best wrought by the fame method. RULE for STATING. Write down the given number or quantity which is of the fame name with the number required, placing the marks of proportion both before and after it; that is, the mark before, and the mark after it. Then, if the answer be more than that number, place the leffer of the other two terms on the left hand thereof, with the word as or if before it, and place the greater term on the right hand, without any word or mark after it: But if the answer be lefs than the middle number or term, make the greater number or quantity the first term, and the leffer the third. METHOD of OPERATION. Reduce the firft and third terms into the fame denomination, and the fecond into the loweft name mentioned. Then, multiply the fecond and third terms together, and divide the product by the firft term, and the quotient will be the answer in the fame denomination you left the fecond term in, which may be brought into a different denomination by the rules of reduction. OBSE R V E. ift. Always multiply and divide as in multiplication and divifion of compound quantities, when it can conveniently be done. 2d. If a remainder be left after divifion, reduce it to the next name below the last quotient, divide by the fame divifor, and the quotient will be fo many of that next name. Do this, as long as there is a remainder, till it be brought into the loweft name, and all the quotients together will be the answer. 3d. If the firft term be unity, or one, the produc of the fecond and third terms, properly reduced, will be the answer. And if the third term be unity, or one, the quotient of the fecond term divided by the firft will also be the answer. P R O O F. The method of proof is by inverting the queftion. The teacher is here recommended to inftru& his pupil in the first cafe of reduction of vulgar fractions, to enable him to abbreviate the remainders of the different operations in this and the following rules. EXAMPLE S. 1. If a yard of cloth coft 1s. 6d. ; what are 34 yards worth at the fame rate? 2. What are 78 yards of cloth worth, at 4s. 93. per Fard? Anf. 181. 138. 9d. 3. I gave 121. 5s. 4d. for 64 yards of cloth; what did it coft me per yard? 4 When fugar is bought at 5d I cwt. worth? Anf. 38. 1od. per lb; what is Anf. 21. 11s. 4d. 5. Bought 2 cwts. of fugar for 81. 15s. od.; what did it coft me per lb ? Anf. 7d. 6. If 4 yards of flannel are worth 6s. 10d.; what are 37 yards worth? Anf. 31. 3s. 24d.. 7. What are 8 yards of flannel worth, when 74 yards of the fame cost 81. 178. 114d? Anf. 198. 24, +4d. 8. If 16 bags of hops coft 421. 8s.; what are 72 bags worth? ས་ Anf. 190l. 16s. 9. The price of 96 cows was 5161. 16s.; how much did I give for 8 cows? Anf. 43l. 18. 4d. 10. A man earns 8s. 4d. in 13 days; how much can he earn in 174 days? 51. 118. 64, d. 11. At 6 fhillings a week; how much is that by the year? Anf. 151. 128. 12. My yearly income is 119l. 2s. 6d.; how much is that for a day, reckoning only 365 days to the year? Anf. 68. 64, 3d. 13. If a man travels 87 miles in 17 days; how far will he travel in 19 weeks 5 days? Anf. 706 ms. 1 fg. 1947 yds. 14. What are 43 quarters 6 bufhels of wheat worth, at 5s. tod. per bufhel? Anf 102l. Is. 8d. 15. What are 17 dozen pairs of fhoes worth, at 2s. 3d. per pair? Anf. 221. 198 16. If 48 dozen pairs of stockings cost 431. 16s.; what are 3 dozen and 7 pairs worth? Anf. 31. 58. 44d. 17. The price of an ounce of filver is 58. 9d.; what are 18 table fpoons worth, weighing in all 2 lbs. Anf. 91. 14s. 10d. 18. A filver tankard coft 7 guineas; how much did it cost per ounce, fuppofing it to weigh ozs. 11 dwts. 18 grs. ? Anf. 89. 44, zid. 9 ozs. 17 dwts. 18 grs.? G 2 19. What |