DIVISION. EXAMPLES. 166. 1. If 125 barrels of flour cost $850, how much RULE. Divide as in simple numbers, and place the point in the quotient, as in division of decimals. 1. In business transactions it is never necessary to carry the division further than to mills in the quotient. 2. If the dividend will not contain the divisor an exact number of times, ciphers may be annexed, and the division continued as in division of decimals. In this case it is always safe to reduce the dividend to mills, or to 3 more decimal places than the divisor contains, before commencing the division. 2. If 33 gallons of oil cost $41.25, what is the cost per gallon? Ans. $1.25. 3. If 27 yards of broadcloth cost $94.50, what will 1 yard cost? 4. If 64 gallons of olives cost $136, what will 1 gallon cost? Ans. $2.125. 5. At 12 cents apiece, how many pineapples can be bought for $1.32 ? Ans. 11. 6. If 1 pound of tea costs 54 cents, how many pounds can be bought for $405? 7. If a man earns $1800 in a year, how much does he earn in a month? 8. If 100 acres of land cost $2847.50, what will 1 acre cost? Ans. $28.475. 9. What will 1 pound of beef cost, if 894 pounds cost $80.46? Ans. $.09. ADDITIONAL APPLICATIONS. 167. An Aliquot Part of a number is such a part as will exactly divide that number. Thus, 3, 5, and 71⁄2 are aliquot parts of 15. An aliquot part may be a whole or a mixed number, while a factor must be a whole number. 168. To find the cost of any number or quantity, when the price of a unit is an aliquot part of one dollar. 1. What will be the cost of 3784 yards of flannel, at 25 cents a yard ? OPERATION. 4)3784 Ans. $946 SOLUTION. Since the price is of a dollar a yard, the whole cost will be as many dollars as there are yards; or, of $3784 : = $946. RULE. Take such a fractional part of the given number as the price is part of one dollar. 2. What will 963 bushels of oats cost at 33 cents per bushel? Ans. $321. 3. What is the cost of 478 yards of delaine, at 50 cents per yard? 4. What is the cost of 4266 yards of sheeting, at 81 cents a yard? Ans. $355.50. 5. What is the cost of 1250 bushels of apples at 121 6. What will 3126 spools of thread cost, at 61 cents per spool? Ans. $195.375. 7. At 163 cents per dozen, what do 1935 dozen eggs cost? Ans. $322.50. 8. What is the cost of 56480 yards of calico, at 121 cents per yard? 169. The price of one and the quantity being given, to find the cost. 1. How much will 9 barrels of flour cost, at $6.25 per barrel? OPERATION. $6.25 9 Ans. $56.25 SOLUTION. - Since one barrel costs $6.25, 9 barrels will cost 9 times $6.25; $6.25 × 9 = $56.25. RULE. Multiply the price of one by the quantity. 2. If a pound of beef costs 9 cents, what will 864 pounds cost? Ans. $77.76. 3. What do 87 acres of government land cost at $1.25 per acre? 4. What will be the cost of 400 barrels of salt, at $1.45 per barrel? Ans. $580. 5. What do 16 chests of tea cost, each chest containing 52 pounds, at 44 cents per pound? 170. The cost and the quantity being given, to find the price of one. 1. If 30 bushels of corn cost $20.70, what will 1 bushel cost? OPERATION. 30) $20.70 $.69 SOLUTION. One bushel will cost of $20.70, which is $.69. RULE. - Divide the cost by the quantity. 2. If 25 acres of land cost $175, what will 1 acre cost? 3. If 48 yards of broadcloth cost $200, what will 1 yard cost? Ans. $4.163. 4. If 96 tons of hay cost $1200, what will 1 ton cost? 5. If 10 dictionaries cost $56.25, what will 1 cost? Ans. $5.62. 6. A man bought 18 pounds of tea for $11.70. What was the price per pound? Ans. $.65. 7. If 53 pounds of butter cost $10.07, what will 1 pound cost? 8. A merchant bought 800 barrels of salt for $1016. What did it cost him per barrel? 9. If 343 sheep cost $874.65, what will 1 sheep cost? Ans. $2.55. 10. If board for a family is $684.374 for 1 year, how much is it per day? Ans. $1.87. 11. If 69 dozen eggs cost $17.25, what will 1 dozen cost? Ans. $.25. 171. The price of one and the cost of a quantity being given, to find the quantity. 1. At $6 a barrel for flour, how many barrels can be bought for $840? OPERATION. 6)840 SOLUTION. Since $6 will buy 1 barrel of flour, $840 will buy as many barrels as $6 is contained times in $840; 840 ÷ 6 140; $840 will buy 140 barrels. RULE. Divide the cost of the quantity by the price of Ans. 140 barrels. one. = 2. How many dozen eggs can be bought for $5.55, if one dozen costs $.15? Ans. 37 dozen. 3. At $12 a ton, how many tons of hay can be bought for $216? Ans. 18 tons. 4. How many bushels of wheat can be bought for $2178.75, if 1 bushel costs $1.25? Ans. 1743 bushels. 5. A dairyman expends $643.50 in buying cows at $194 apiece. How many cows does he buy? Ans. 33 cows. 6. At $.45 per gallon, how many gallons of molasses can be bought for $52.65? 7. A drover bought horses at $264 a pair. How many horses did he buy for $ 6336 ? 8. At $65 a ton, how many tons of railroad iron can be bought for $117715? Ans. 1811 tons. 172. To find the cost of articles sold by the 100, or 1000. 1. What do 475 feet of timber cost at $5.24 per feet? OPERATION. 100 $5.24 3668 2096 100) $2489.00 Ans. $24.89 SOLUTION. - If the price were $5.24 per foot, the cost of 475 feet would be 475 x $5.24 $2489. But since $5.24 is the price of 100 feet, $2489 is 100 times the true value. Therefore, to obtain the true value, we divide $2489 by 100, which we may do by cutting off two figures from the right, and the result is $24.89. RULE. I. Reduce the given quantity to hundreds and decimals of a hundred, or to thousands and decimals of a thousand. IF. Multiply the price by the quantity, and point off in the result as in multiplication of decimals. The letter C is used to indicate hundreds, and M to indicate thousands. 2. What will 42650 bricks cost, at $4.50 per M? Ans. $191.925. 3. What is the freight on 2489 pounds from Boston to New York, at $.85 per 100 pounds? Ans. $21.156. |