92. Change 11495 pennyweights to pounds. Ans. 47 lbs. 10 oz. 15 dwts. 93. Change 5 pounds, 6 ounces, 4 pennyweights, 20 grains, to grains. Ans. 31796 grs. Ans. 94. Change 31796 grains to pounds. 95. Change 8 tons, 6 cwt. 2 quarters, to qrs. Ans. 666 qrs. 96. Change 666 quarters to tons. Ans. Why? 97. Change 3 tons, 25 pounds, to pounds. Ans. 6745 lbs. 98. Change 6745 pounds to tons. 99. In 17 yards, 2 quarters, 2 nails, how many nails? Ans. Ans. 282 nas. 100. Change 282 nails to yards. Ans. Ans. 564 in. Why? 102. In 1128 inches, how many yards? Ans. 31 yds. Ift. 103. In 53 acres, 1 rood, how many perches? Ans. 8520 P. 104. In 8540 perches, how many acres? Ans. 105. In 34 acres, 3 roods, 17 perches, how many perches? Ans. 5577 p. 106. In 5577 perches, how many acres? 107. How many pounds, Troy, and how many grains, in 5760 ounces ? Ans. Why? 480 lbs. Ans. {2764800 grs. 108. How many ounces in 480 pounds, Troy? 109. How many nails and yards are in 46 quarters ? 110. How many yards and inches in 100 feet? Ans. 5760 oz. 184 nas. Ans. { Ans. { 11 yds. 2 qr. 33 yds. 1 ft. 1200 in. 116. How many feet are in 38 inches? Ans. 3 ft. 2 in. 117. How many yards are in 38 feet? Ans. 12 yds. 2 ft. 118. How many inches are in 38 feet? Ans. 456 in. Ans. 38 ft. 119. How many feet are in 456 inches? 120. How many inches are in 162 yards? Ans. 5832 in. 121. How many gallons are in 360 pints? Ans. 45 pts. 122. In 1760 rods, how many acres? Ans. 11 a. 123. How many square inches are in 2 square yards? Ans. 2592 sq. in. 124. What will 3 bushels of beans cost at 5 cents a pint? Ans. $9.60 cts. NOTE.-There are 64 pints in a bushel, and in 3 bushels there will be 3 times 64 pints, or 192 pints; now, since 1 pint is worth 5 cents, the whole price will be 5 times as many cents as there are pints; that is, 1925 960 cents: now, if we point off the two right hand figures for cents, all to the left of that point will be dollars; then 960 cents is equal to $9.60 cents-read 9 dollars and 60 cents. 125. What will 7 bushels, 2 pecks of peaches cost, at 45 cents a peck? Ans. $13.50 cts. 126. What is the value of 14 yards, 3 quarters of cloth, at 75 cents for a quarter of a yard? Ans. $44.25. 127. What is the value of a piece of gold, weighing 1 pound, 3 penny weights, at 12 cents per grain? Ans. $729. 128. How many bushels of apples may be bought for 4 dollars and 75 cents, at 12 cents per peck? Here we say, since 12 cents will for 1 peck, as many times pay 12 as there are in 475, so many pecks will 475 cents buy, that is, 38 pecks; and as it takes 4 pecks to make a bushel, as many times 4 as there are in 38, so many Ans. bushels will 38 pecks make. Cents. At $ 25 2 19 4)38 pc. 9 bush. 2 pc. 129. How many boxes, each to hold 12 pounds, may be filled out of a hogshead of tobacco weighing 6 cwt. and 3 quarters. Ans. 63 boxes. 130. A grocer has 34 cwt. 2 qrs. 12 lbs. of sugar, which he wishes to put into boxes, each of which will hold 68 lbs., how many boxes will he require? Ans. 57 boxes. 131. How many spoons, each to weigh 2 oz. 5 dwt., can be made out of a tankard weighing 2 lbs. 5 oz. 5 dwt.? Ans. 13 spoons. 132. How many steps of 2 feet 8 inches, will a man take in walking 2 miles? Ans. 3960 steps. 133. How many casks, each to contain 84 lbs, may be filled out of a hogshead of sugar weighing 17 cwt. 1 qr.? Ans. 23 casks. 134. A tract of land containing 1299600 square perches, is to be divided into 25 farms of equal size, how many acres will there be in each? Ans. 324 A. 3 r. 24 p 135. How many English ells in 395 yards? P. Ans. 316 E. ells. 136. How many yards in 84 Flemish ells? Ans. 63 yards. 137. In 285 English ells, how many Flemish ells? Ans. 475 Fl. ells. 138. Purchased a cargo of molasses consisting of 87 hhd., at 33 cents a gallon, what did it amount to? Ans. $1808.73. 139. A merchant bought 29 bales of cotton cloth, each bale containing 57 yards, the price was 15 cents a yard, what did it amount to? Ans. $247.95. 140. Reduce 86 solid feet to yards. Ans. 3 solid yards, 5 solid feet. 141. Reduce 191934 solid inches to feet. Ans. 111 solid feet, 126 solid inches. 142. Reduce 876 solid feet to yards. Ans. 32 solid yards, 12 solid feet. 143. In 92 quarters of cloth, how many English ells? 144. Reduce 467 nails to yards. Ans. 18 E. ells, 2 qrs. Ans. 29 yds. O qrs. 3 nas. 145. Reduce 3741 inches to English ells. Ans. 83 E. ells, 6 ins. 146. Reduce 467 yards to English ells. Ans. 373 E. ells, 3 qrs. 147. In 27 acres, 2 roods, 16 rods, how many lots of 32 rods each? Ans. 138 lots. 148. How many times does a carriage wheel, 22 feet in circumference, go round in one mile? Ans. 240 times. 149. In 35 tons weight, how many wagon loads of 22 cwt. each? Ans. 31 loads. 150. In £186 4s., how many guineas of 21 shillings each? Ans. 177 guineas. 151. How many cannon balls, at 24 lbs. each will it take to weigh 1 ton gross weight? Ans. 93 balls, 8 lbs. 152. How many times must you apply a pole 12 feet long to the ground, to measure 1 mile? Ans. 440 times. 153. How many 9 gallon kegs may be filled from 17 hhd. wine measure? Ans. 119 kegs. 154. How many steps of 24 feet each, will a man take in walking 25 miles? Ans. 48000 steps. 155. How many sixpences in £95.3s.? Ans. 3806 sixpences. 156. How many fourpences in £84? Ans. 5040 fourpences. COMPOUND ADDITION. When the numbers to be added are all of the same name or denomination, the operation is called simple addition, but when the numbers to be added are of different denominations, the operation is called compound addition. A butcher killed an ox, one of the hind quarters of which weighed 1 cwt. 3 qrs. 17 lbs., the other 2 cwt. qr. 9 lbs., one of the fore quarters weighed 1 cwt. 2 qrs. 16 lbs., the other 1 cwt. 2 qrs. 14 lbs., the hide weighed 3 qrs. 7 lbs., the tallow 2 qrs. 19 lbs., what was the weight of the whole? Here we write the numbers of the same name under each other, that is, pounds under pounds, quarters under quarters, and cwt. under cwt., then we commence with the right hand column, which we add up, and find it amounts to 82 lbs., now as 28 lbs. make 1 qr., by dividing the 82 by 28 we find 82 is equal to 2 qrs. and a remainder of 26 lbs., this 26 lbs. we write under the (1.) cwt. qrs. lbs. 3 17 2 1 Ans. 8 9 2 16 2 14 3 7 2 19 3 26 column of lbs., and count the 2 qrs. with the column of qrs., the whole amounting to 15 qrs., which we divide by 4, and find the 15 qrs. equal to 3 cwt., and a remainder of 3 qrs., which we write under the column of qrs., and count the 3 cwt. with the column of cwt., the whole amounting to 8 cwt. RULE FOR THE ADDITION OF COMPOUND NUMBERS. 1st. Write the numbers to be added so that units of the same order may stand directly under each other. 2d. Begin with the lowest order, add the numbers together and divide their sum by the number of units of this denomination which is required to make a unit of the next higher; write the remainder under the column added and carry the quotient to the next column. Proceed thus with every nomination. de PROOF THE SAME AS IN SIMPLE ADDITION. NOTE. In writing the numbers down if any intermediate denomination is wanting, supply its place with a cipher. |