DIVISION 136. 1. If 27 yards of cloth cost $9.45, what will one yard cost? SOLUTION 27) $9.45(.35 81 135 To Divide United States Money a. Divide as in simple numbers and point off the quotient as in division of decimals. NOTE. If the dividend will not contain the divisor an exact number of times, ciphers may be annexed, and the division continued as in decimals. 2. If 16 pounds of tea cost $8.96 what will one pound cost? 3. If 25 acres of land cost $1125, what will 1 acre cost? 4. If 36 yards of broadcloth cost $139.50, what will one yard cost? 5. If 45 pounds of butter cost $14.40 what will be the cost of 1 pound? 6. How many barrels of apples can be bought for $534.37 at the price of $11 per barrel? 7. A man earns $864 in a year. How much is that a month? 8. If 100 acres of land cost $5637.50, what will one acre cost? 9. If 265 pounds of lard cost $34.45, what will one pound cost? 10. A farmer exchanged 235 bushels of corn at 45 cents a bushel for buckwheat at 85 cents a bushel. How many bushels of the latter did he receive? 11. A young man's board for one year is $3183. How much is it per day? 12. A grocer bought 18 kegs of butter of 25 pounds each for $121.50. How much was that per pound? 13. If 16 men receive $516 for 43 days' work, how much does each man earn a day? 14. C earned $90 in 40 days, working 10 hours a day; how much did he earn an hour? SHORT METHODS 137. An Aliquot Part of a number is one which will exactly divide it. Thus 5, 10 and 20 are aliquot parts of 60; 12 of 100, NOTES.-1. This table can be easily learned and will prove convenient in mental operations. 2. Black figures indicate multipliers and multiplicands. Intersecting points of horizontal and vertical columns give the products. Count by 2 to 100; as, 23, 5, 71, etc. Count by 12 to 100, return by subtracting 10's. Count by 3 to 100, return by subtracting 5's. Count by 16 to 100, return by subtracting 12's. 138. To find the cost of a quantity when the price is an aliquot part of $1. 1. Find the cost of 48 pounds of butter at 25 cents a pound. SOLUTION 4) 48 $12 EXPLANATION.-At $1 a pound 48 pounds would cost $48, but 25 cents is 1/4 of a dollar, and hence the whole cost will be 4 of $48 or $12. From this solution we have the following: To Find the Cost When the Price Is an Aliquot Part of $1 a. Take such part of the given quantity as the price is part of one dollar. 2. What cost 218 gallons of syrup at 50c per gallon? 3. What cost 468 yards of cloth at 333 cents per yard? 6. What cost 26840 yards of calico at 83 cents per yard? 7. Find the cost of 2435 pounds of pork at 64 cents per pound. 8. What cost 486 cans of peaches at 20 cents per can? 9. What cost 214 quarts of berries at 5 cents per quart? 10. At 163 cents per yard, what cost 26480 yards of linen? 139. To find the quantity when the price is an aliquot part of $1. 1. If cloth costs 33 cents per yard, how many yards can be bought for $29? SOLUTION At 333c per yard $1 will buy 3 yards. $29 will buy 3 × 29 or 87 yards. To Find the Quantity When the Price Is an Aliquot Part of $1 a. Multiply the cost by the quantity that can be bought for one dollar. 2. If one pound of butter cost 25 cents, how many pounds can be bought for $13.25? 3. At 163 cents a dozen, how many dozen eggs can be bought for $32.15? 4. A gardener exchanged potatoes worth 663 cents per bushel for 5 barrels of flour worth $6.75 per barrel. How many bushels of potatoes did he give? 5. A farmer sold 15 bushels of buckwheat at 87 cents per bushel and received in pay pork at 64 cents per pound. How many pounds did he receive? 6. John Wilson expended $3625 in the purchase of a farm at $50 per acre. How many acres did he buy? 7. I exchange 275 feet of city land worth $75 per foot, for farming land worth $663 per acre. How many acres do I receive? 8. A grocer expended $32.50 for A sugar worth 6 cents per pound, and $48.75 for C sugar at 5 cents per pound. How many pounds of sugar did he buy? 140. To find the cost of articles sold by the 100 or 1000. NOTE.-C stands for 100. M stands for 1000. 1. What is the cost of 1850 feet of lumber at $3.20 per C? SOLUTION 1850 feet = 18.50 C feet. 18.50 X $3.20 = $59.20. Therefore we may deduce the following rule: To Find the Cost of Articles Sold by the C or M a. Reduce the quantity to hundreds and decimals of a hundred or thousands and decimals of a thousand. b. Multiply by the price per C or per M and point off as in multiplication of decimals. NOTE. Use aliquot parts where practicable. 2. Find the cost of 1645 pounds of beef at $4.60 per C. 3. Find the cost of 4267 pounds of scrap iron at $5.30 per C. 4. What is the freight from New York to Chicago on 6238 pounds of merchandise at $1.62 per C? 5. What will be the cost of 2632 feet of pine boards at $18.50 per M? 6. What cost 6428 bricks at $6.50 per M? 7. What will be the cost of 1625 feet of oak lumber at $35 per M? 8. Find the cost of 384 ax handles at $11.50 per C. 9. Find the cost of 8425 shingles at $7.30 per M. 10. A printer printed 11267 envelopes at $2.15 per M. What did he receive for the job? 11. In repairing a house I used 2640 bricks at $5.80 per M; 2180 feet of boards at $13 per M; 167 feet of scantling at $9.80 per M; 1280 pounds of nails at 20 cents per C. What was the total cost? 141. To find the cost of articles sold by the ton of 2000 pounds. 1. What will 4360 pounds of coal cost at $7.50 per ton? To Find the Cost of Articles Sold by the Ton of 2000 Pounds a. Divide the price of 1 ton by 2 and the quotient will be the price of 1000 pounds. b. Reduce the pounds to thousands and decimals of a thousand by pointing off three places. c. Multiply the price per thousand by the number of thousands and decimals of a thousand. 2. At $18.50 per ton what will 6342 pounds of hay cost? 3. At $22.50 per ton what will 468 pounds of hay cost? 4. At $3.25 per ton what will 1685 pounds of soft coal cost? 5. At $7.80 per ton what will 2632 pounds of hard coal cost? 6. At $49.50 per ton what will be the cost of 42367 pounds of steel rails? |