BILLS. 13. Thomas Wilson bought of James Mitchell & Son, St. Louis, Mo., Sept. 8, 1890, 18 yards of flannel, at 36 cents; 15 yards of muslin, at 23 cents; 3 dozen silk buttons, at 42 cents; 18 yards of sheeting at 16 cents; 2 boys' suits, at $8.50 and $13; 3 silk ties, at 85 cents; 1 cloak, $16.50; dozen handkerchiefs, at 18 cents each; 13 yards of velvet, at $2.75. Make out and receipt this bill as clerk of James Mitchell & Son. 14. John Clark bought of Charles Andrews, Detroit, Mich., Aug. 12, 1890, 13 yards of silk, at $2.95; 6 pairs of kid gloves, at $1.49; 33 yards of drilling, at 18 cents; 19 yards of ribbon, at 36 cents; 1 dozen linen napkins, at $3.75; 1 overcoat, $23.75; 1 umbrella, $3.75; 19 yards of cambric, at 14 cents; 6 yards of embroidery, at 48 cents. Make out and receipt this bill. 15. James Goodman bought of C. H. Slack & Co., Chicago, Ill., April 19, 1893, 5 barrels of flour, at $7.50; 2 barrels of brown sugar, 270 pounds each, at 4 cents; 1 barrel of granulated sugar, 225 pounds, at 6 cents; 1 sack of coffee, 60 pounds, at 22 cents; 2 boxes of raisins, each 18 pounds, at 9 cents; 1 chest of tea, 37 pounds, at 37 cents. Make out and receipt this bill. CHAPTER VI. COMPOUND NUMBERS. 1. A Simple Quantity is expressed in units of one denomination; as, 4 pecks. A Compound Quantity is expressed in units of different denominations which are reducible to units of the same denomination; as, 4 pecks, 3 quarts. 2. A Denominate Number is a number composed of denominate units. A Simple Denominate Number is composed of units of one denomination. A Compound Denominate Number is composed of units of two or more denominations which are reducible to units of the same denomination. 3. Reduction is the process of changing the denomination of a number without changing its value. Changing denominate numbers to lower denominations is called Reduction Descending. Changing to higher denominations is called Reduction Ascending. In reducing denominate numbers, the increase or decrease in the number of units is by an irregular scale, instead of by the decimal scale as in simple numbers. DRY MEASURE. 4. Dry Measure is used in measuring grain, fruit, seeds, vegetables, and other dry articles. The denominations are pints, quarts, pecks, and bushels. 2 pints (pt.) = 1 quart (qt.). 8 quarts 4 pecks = = 1 peck (pk.). = 1 bushel (bu.). 1 bu. 32 qt. = 64 pt. The standard bushel is 18 inches in diameter and 8 inches deep, and contains 2150.42 cubic inches. 1. How many bushels in 24 pecks? 25 pecks? 35 pecks? 2. Reduce 5 bushels to pecks. To quarts. 3. Reduce 2 pecks to pints. 2 bushels to pints. 5. Reduce 16 bu. 3 pk. 1 pt. to pints. quarts in 67 pecks. One bushel = 4 pecks. In 16 bushels there are 4 times as many ones of pecks as ones of bushels. 16 multiplied by 4 64. There are 64 pecks in 16 bushels. 64 pecks + 3 pecks = 67 pecks. One quart 2 pints. In 536 quarts there are 2 times as many pints. 2 times 536 1072. 1072 pints + 1 pint = 1073 pints. = 16 bushels, 3 pk. 1 pt. 1073 pints. Ans. 1. Reduce 8 bu. 3 pk. 1 pt. to pints. To reduce a compound denominate number to a lower denomination : Multiply the highest denomination by the number of ones of the next lower which make one of the higher, and add to the product the given number of the same denomination. Proceed in like manner with each successive result, until the number is reduced to the required denomination. There are in 43 pecks as many bushels as there are times 4 pecks, which is 10, with 3 pecks remaining. 689 pints 10 bu. 3 pk. 1 pt. 1. Reduce 817 pints to bushels. 168 quarts to bushels. 2. Reduce 682 pints to bushels. 95 pints to pecks. 3. Reduce 125 quarts to bushels. 87 pints to pecks. To reduce a compound denominate number to a higher denomination : Divide the given number by the number of ones that make one of the next higher denomination. Divide this quotient and each successive quotient in like manner, until the required denomination is reached. The last quotient, with the several remainders annexed, in proper order, is the result required. LIQUID MEASURE. 7. Liquid Measure is used in measuring liquids. The denominations are gills, pints, quarts, and gallons. 4 gills (gi.) 1 pint (pt.). 2 pints 4 quarts = 1 quart (qt.). = 1 gallon (gal.). The gallon contains 231 cubic inches. 1 pints liquid measure equal 1 pint dry measure. The barrel contains 31 gallons; the hogshead 63 gallons. 1. Reduce 15 gallons to pints. Reduce 18 gallons to gills. 2. Reduce 17 gal. 1 qt. 1 pt. 3 gi. to gills. Reduce 8 quarts to gills. 3. How many gallons in 47 quarts? How many gallons in 47 pints? 4. Reduce 86 gills to quarts. 98 gills to gallons. 5. Reduce 25 gal. 1 pt. to gills. Reduce 19 gallons to pints. |