First Lessons in Algebra: Being an Easy Introduction to that Science ; Designated for the Use of Academies and Common Schools |
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Page 137
... left . What was their income ? 21. A farmer planted corn in 4 fields . The third produced 9 bushels more than the fourth ; the second , 1 12 bushels more than the third ; the first , 12 * EQUATIONS OF THE FIRST DEGREE . 137.
... left . What was their income ? 21. A farmer planted corn in 4 fields . The third produced 9 bushels more than the fourth ; the second , 1 12 bushels more than the third ; the first , 12 * EQUATIONS OF THE FIRST DEGREE . 137.
Page 140
... farmer has his sheep in four pastures : in the first , of his flock ; in the second , 1 ; in the third ,; and in the fourth , 18 sheep . How many sheep has he ? * 37 . If a man fills a certain chest with corn , at 5s . a bushel , he ...
... farmer has his sheep in four pastures : in the first , of his flock ; in the second , 1 ; in the third ,; and in the fourth , 18 sheep . How many sheep has he ? * 37 . If a man fills a certain chest with corn , at 5s . a bushel , he ...
Page 145
... farmer sells a quantity of corn , which is to the quantity left as 4 to 5. After using 15 bushels , he finds he has as much left as he sold . How many bushels had he at first ? 4 70. Divide 84 into two such numbers , that the quo- tient ...
... farmer sells a quantity of corn , which is to the quantity left as 4 to 5. After using 15 bushels , he finds he has as much left as he sold . How many bushels had he at first ? 4 70. Divide 84 into two such numbers , that the quo- tient ...
Page 150
... farmer sold to one man 10 bushels of corn and 12 bushels of potatoes for 54 shillings ; and to another , 2 bushels of corn and 4 bushels of potatoes for 14 shillings . What was the price of each per bushel ? 11. A gentleman gave to his ...
... farmer sold to one man 10 bushels of corn and 12 bushels of potatoes for 54 shillings ; and to another , 2 bushels of corn and 4 bushels of potatoes for 14 shillings . What was the price of each per bushel ? 11. A gentleman gave to his ...
Page 154
... farmer has 86 bushels of wheat at 4s . 6d . a bushel , with which he wishes to mix rye at 3s . 6d . a bushel , and barley at 3s . a bushel , so as to make 136 bushels , that shall be worth 4s . a bushel . How much rye and barley must he ...
... farmer has 86 bushels of wheat at 4s . 6d . a bushel , with which he wishes to mix rye at 3s . 6d . a bushel , and barley at 3s . a bushel , so as to make 136 bushels , that shall be worth 4s . a bushel . How much rye and barley must he ...
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Common terms and phrases
A's share acres added Algebra amount answer apples asked the age binomial bought bushels cents chaise coefficient common denominator completing the square compound quantities contain cost cube root debt difference Divide dividend divisor dollars equal exponent expressed Extract the square farmer fourth power fourth root frac gain gallons gentleman give given quantity greater horse improper fraction less letter merator miles an hour mixed multiply equation negative quantity obtain oranges peaches pears pounds quan question quotient receive Reduce remainder Required the number rods second power second term SECTION shillings Simple Quantities sold square root subtracted third power tion tity transposition twice unknown quantity worth x y z x²y yards α² α³ ху
Popular passages
Page 246 - Several gentlemen made an excursion, each taking the same sum of money. Each had as many servants attending him as there were gentlemen ; the number of dollars which each had was double the number of all the servants, and the whole sum of money taken out was 3456 dollars.
Page 122 - A man driving his geese to market, was met by another, who said, good morrow, master, with your hundred geese ; says he, I have not a hundred ; but if I had half as many more as I now have, and two geese and a half, I should have a hundred ; how many had he ? /C s"~
Page 141 - A man and his wife usually drank out a cask of beer in 12 days ; but when the man was from home, it lasted the woman 30 days : how many days would the man alone be in drinking it ? Ans.
Page 251 - The fore-wheel of a carriage makes 6 revolutions more than the hind- wheel in going 120 yards; but if the circumference of each wheel be increased one yard, it will make only 4 revolutions more than the hind-wheel in the same distance.
Page 68 - Divide the first term of the dividend by the first term of the divisor, giving the first term of the quotient. Multiply the whole divisor by this term, and subtract the product from the dividend, arranging the remainder in the same order of powers as the dividend and divisor.
Page 237 - A square court yard has a rectangular gravel walk round it. The side of the court wants 2 yards of being 6 times the breadth of the gravel walk ; and the number of square yards in the walk exceeds the number of yards in the periphery of the court by 164. Required the area of the court ? All equations of the second degree may be reduced to one of the following forms.
Page 138 - A gentleman invested -J of his property in a canal. When he sold out, he lost f of the sum invested, receiving only $1,446. What was the value of his property when he began ? Ans., $11,568. 29. A gentleman leaves $315 to be divided among four servants in the following manner : B is to receive as much as A, and |- as much more; C is to receive as much as A and B, and ^ as much more ; D is to receive as much as the other three, and £ as much more. What is the share of each ? price of the chaise, the...
Page 131 - There is a fish whose head weighs 9 lb. his tail weighs as much as his head and half his body, and his body weighs as much as his head and tail both.
Page 166 - If A and B together can perform a piece of work in 8 days, A and C together in 9 days, and B and C in 10 days : how many days would it take each person to perform the same work alone ? Ans.
Page 125 - The distance from A to D is 34 miles. The distance from A to B is to the distance .from C to D as 2 to 3. And ± of the distance from A to B, added to half the distance from C to D, is three times the distance from B to C. What are the respective distances ? Ans.