An Introduction to Algebra Upon the Inductive Method of Instruction |
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Page 33
... remainder . How many did he cut off ? 3 44 15. Divide $ 183 between two men , so that of what the first receives , shall be equal to of what the second receives . What will be the share of each ? 16. A man sold 20 bushels of grain , rye ...
... remainder . How many did he cut off ? 3 44 15. Divide $ 183 between two men , so that of what the first receives , shall be equal to of what the second receives . What will be the share of each ? 16. A man sold 20 bushels of grain , rye ...
Page 35
... from the greater , the remainder will be equal to of the greater subtracted from four times the less . Let x = Then 204 greater part . -the less part . of the less is 408-2x By the conditions , X- V .. 35 Equations .
... from the greater , the remainder will be equal to of the greater subtracted from four times the less . Let x = Then 204 greater part . -the less part . of the less is 408-2x By the conditions , X- V .. 35 Equations .
Page 36
... remainder will be the same as if of the price of the chaise be subtracted from three times the price of the horse . Required the price of each . 8. Two men , A and B , were playing_at cards ; when they began , A had only 3 as much money ...
... remainder will be the same as if of the price of the chaise be subtracted from three times the price of the horse . Required the price of each . 8. Two men , A and B , were playing_at cards ; when they began , A had only 3 as much money ...
Page 41
... remainder he went to another tavern , where he borrowed as much as he then had , and then spent a shilling , and so he went to a third and a fourth tavern , borrow- ing and spending as before ; after which he had nothing left . How much ...
... remainder he went to another tavern , where he borrowed as much as he then had , and then spent a shilling , and so he went to a third and a fourth tavern , borrow- ing and spending as before ; after which he had nothing left . How much ...
Page 42
... remainder may be 11 . 26. It is required to divide the number 48 into two such parts , that one part may be three times as much above 20 , as the other wants of 20 . 27. A man distributed 20 shillings among 20 people , giving 6 pence ...
... remainder may be 11 . 26. It is required to divide the number 48 into two such parts , that one part may be three times as much above 20 , as the other wants of 20 . 27. A man distributed 20 shillings among 20 people , giving 6 pence ...
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Common terms and phrases
3d power 3d root 5th power a b c A's share a² b³ added algebra algebraic quantities apples approximate root Arith arithmetic becomes binomial Binomial Theorem bought breadth bushels coefficient compound interest compound quantities consisting contain decimal denominator divide the number dividend divisor equal equation example exponent expressed factors figure find the root find the sum formula found by multiplying fraction gallons geometrical progression gives greater Hence horse length less Let the learner letter logarithm merator miles multiplicand number of dollars number of terms observe pears quan question quotient remainder required to find rods rule second power second root second term shillings sold subtracted Suppose third power third root third term twice unknown quantity whole number yards zero
Popular passages
Page 31 - many days did he work, and how many days was he idle ? Let x = the number of days he worked.
Page 34 - A certain person has two silver cups, and only one cover for both. The first cup weighs 12 oz. If the first cup be covered it weighs twice as much as the other cup, but if the second be covered it weighs three times as much as the first.
Page 89 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient.
Page 242 - ... which was moving at the rate of 9 miles in 4 hours. B overtook the same drove of geese at the 45th mile stone, and met the same stage waggon exactly forty minutes before he came to the 31st mile stone. Where was B when A reached London ? (57.
Page 82 - It has been shown above that if both numerator and denominator be multiplied by the same number, the value of the fraction will not be altered. If...
Page 13 - The head of a fish is 12 inches long, the tail is as long as the head + £ of the body, and the body is as long as the head and tail ; what is the length of the fish?
Page 86 - To divide a whole number by a fraction, — Multiply the dividend by the denominator of the fraction, and divide the product by the numerator.
Page 204 - The sum of all the terms. Any three of which being given, the other two may be found.