£ S. d. qrs. 298 s. 1. In £14 18s. 4d. 2qrs., how many farthings? Operation. Illustration.-We multiply the £14 by 20, the number 14 18 4 2 of shillings in £1, adding in 20 the 18s. which make 298s. Then as ls. is equal to 12d. 12 we multiply the 2985. by 12, 3580 d. adding in the 4d., which 4 makes 3580 pence. Then as 1d. is equal to 4 farthings Ans. 14322 qrs. we multiply the 3580 pencë by 4, adding in the 2 farthings, and the answer is 14322 farthings. 2. In 14322 farthings, how many pounds ? Operation. We divide the farthings by Far. in 1d. 4)14322 4, because 4 farthings are eqal to 1 penny, and the quo12)3580--2qrs. tient is 3580 pence, and the 2'0)29'8-4d. remainder 2qrs.-Then be cause 12d. make 1 shilling, £14--18s. we divide the 3580 pence by Ans. £14 18s. 4d. 2qrs. 12, and the quotient is 298 shillings, and the remainder 4 pence. Then as 20 shillings make 1 pound, we divide the 298 shilling by 20, and the quotient is £14, and the remainder 18s.; and the last quotient, with the several remainders, constitutes the an qrs. swer. Note. It will be seen that this Example proves the preceding one: thus the 2d example proves the 1st, the 4tb proves the 3d, and the 6th proves the 5th, and so on. 3. Reduce £94 5s. 6d. to pence. 4. Reduce 22626 pence to pounds. 5. In £256 14s. 60. 3qrs., how many farthings ? 6. In 246459qrs., how many pounds ? 7. In $148, at 6s. each, how many pence? 8. In 10656d., how many dollars, at 6s. each ? 9. In £125, how many half-pence ? 10. In 600000 half-pence, how many pounds ? grs. 11. Reduce 35 guineas, at 285., to pence. 12. Reduce 11760 pence to guineas, at 28s. II. Troy Weight 1. In 11b. 11oz. 15pwt. of 2. In 11400grs. of silver, silver, how many grains ? how many pounds ? oz. pwt. 1 11 15 6)11400 12 ounces in 1lb. 4)1900 23 2'0)47'5 20 pwts. in loz. 12)23-15pwt. 475 Answer I ii 15 Ib. oz. pwt. Note. In dividing by 24, Ans. 11400grs. we use the factors 6 and 4. 3. In 24lbs. 9oz. of silver, how many grains ? 4. In 142560grs. of silver, how many pounds ?. 5. How many grains of gold are there in 16lb. 10oz. 18pwt. 5 grains ? 6. In 97397grs. of gold, how many pounds? III. Avoirdupoise Weight. 1. In 2T. 12cwt. 3qrs. 6lb. 2. Reduce 5914lbs. to tons. how many pounds? 7)5914 4)844+6lb. 4)211 2'0)5'2 +3qrs. 4 qrs. in 1 cwt. T. 2+12cwt. Àns. 2T. 12cwt. 3qrs. 6lb. 28 lbs. in 1 qr. Note. As 28lbs. are equal 1694 to lqr., we divide the lbs. by 422 the factors 7 and 4. 5914lbs. Ans. 3. Bring 191b. 11oz. 13d. into drams. 4. Bring 5053 drams into pounds. 5. In 1 ton, how many drams? 6. In 573440 drams, how many tons ? 52 211 ! 7. In 85cwt. Iqr. 15lb., how many pounds ? 8. In 9563 pounds, how many cwt. ? 9. In 11hhds. of sugar, each weighing 9cwt. 3qrs. 25lbs., how many pounds ? 10. In 12287 pounds of sugar, how many hogsheads, each 9cwt. 3qrs. 25lbs. 11. In 156 boxes of raisins, each containing 125 pounds, how many cwt. ? 12. In 174cwt. 12lb. of raisins, how many boxes of 125 pounds each? Iv. Apothecaries Weight.. 1. Reduce 9lb 83 13 to 2. Bring 929 drams into drams. pounds. 8)929 12)116+1 91b. 8oz. Idr. Cloth Measure. 1. In 127 yards, how many 2. In 2032na., how many quarters and nails? quarters and yards ? 4)2032 4)508 quarters. Direction.-First reduce the Ells English to quarters, then reduce the quarters to Ells French. Thus, 156 E. E: =780qrs. then 780qrs. - 6 equal to the answer. 8. Reduce 130 Ells French to Ells English. 127 yards. 9. In 35 pieces of cloth, each 28 yards 3 quarters, how many nails ? bu. 10. If 16100 nails of cloth be contained in 35 pieces of cloth, how many yards in each piece ? VI. Dry Measure. 1. In 45bu. 3pks. 5qts., 2. In 1469qts., how many how many quarts ? bushels ? 8)1469 4)183+5qts bu. 45+3pks. Ans. 1469 quarts. Ans. 45bu. 3pks. 5qts. 3. In 146bu., how many pecks, quarts and pints ? 4. In 9344 pints, how many bushels ? 5. In 35 barrels of grain, each containing 3bu. 2pks., how many pints ? 6. 7840 pints of grain be contained equally in 35 bar. rels, how many bushels in each barrel ? VII. Wine Measure. 1. In 8 tuns of wine, how 2. In 8064 quarts of wine, many hhds., gals. and qts.? how many tuns ? 8 4)8064 63)2016(32 189 96 4)32 192 126 126 Anş. 8 tuns. 2016 gallons. 4 0 8064 quarts. 3. In 27hhds. 18gals. 2qts., how many pints? 4. In 13756 pints of wine, how many hogsheads ? 5. In 25 barrels of cider, how many pints? 6. In 6300 pints of cider, how many barrels ? (Direction.-First reduce 6300 pints to quarts for a divi dend ; then reduce one barrel to quarts for a divisor. Divide, and the quotient is the answer sought.) 7. How many bottels, containing 6 gills apiece, can be filled with 3 barrels of cider ? 8. In 504 bottels of cider, each containing 6 gills, how many barrels ? many miles ? VIII. Long Measure. 4'0)13120 8)328 Ans. 41 miles. 3. In 46 degrees, how many rods ? 46 x 698 X 8 X 40=1023040. 4. In 1023040 rods, how many degrees ? 1023040--40=25576--8=3197-691=46. Note. When the divisor is, a mixed number, that is, à whole number joined with a fraction, 1, 1, &c., we must reduce the divisor to halves, or fourths, &c., and reduce the dividend to the same ; then dividing gives the true quotient. Thus, in this example, the rods being divided by 40, and that quotient by 8, we hav e 3197 miles ; then 691 miles: 139 half-miles, the divisor ; and 3197 miles=6394 halfmiles, the dividend. 5. In 248 miles, how many inches ? 6. In 15713280 inches, how many miles ? 7. In 120 yards 2 feet 8 inches, how many inches ? 8. Reduce 4352 inches to yards. 9. How many barley-corns will reach round the globe, it being 360 degrees? 10. Reduce 4755801600 barley corns to degrees ? IX. Land or Square Measure. 1. In 121a. 3 roods and 25rd., how many square rods? 2. In 19505 rods, how many acres ? 3. In 256 acres, how many square feet ? 256 X 4 X 40 X 2721=11151360 Ans |