Ray's Algebra, Part First: On the Analytic and Inductive Methods of Instruction, with Numerous Practical Exercises, Designed for Common Schools and Academies |
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Page 6
... bought a sheep , a cow , and a horse , for 60 dollars ; the cow cost three times as much as the sheep , and the horse twice as much as the cow ; what was the cost of each ? 7. James had 30 cents ; he lost a certain number ; after this ...
... bought a sheep , a cow , and a horse , for 60 dollars ; the cow cost three times as much as the sheep , and the horse twice as much as the cow ; what was the cost of each ? 7. James had 30 cents ; he lost a certain number ; after this ...
Page 6
... bought lemons and oranges , of each an equal number ; the lemons cost 2 , and the oranges 3 cents a piece ; the cost of the whole was 30 cents ; how many were there of each ? 5. Daniel bought an equal number of apples , lemons , and ...
... bought lemons and oranges , of each an equal number ; the lemons cost 2 , and the oranges 3 cents a piece ; the cost of the whole was 30 cents ; how many were there of each ? 5. Daniel bought an equal number of apples , lemons , and ...
Page 6
... bought 5 apples and 3 peaches for 22 cents ; each peach cost twice as much as an apple ; what was the cost of each ? 4. William bought 2 oranges and 5 lemons for 27 cents ; each orange cost twice as much as a lemon ; what was the cost ...
... bought 5 apples and 3 peaches for 22 cents ; each peach cost twice as much as an apple ; what was the cost of each ? 4. William bought 2 oranges and 5 lemons for 27 cents ; each orange cost twice as much as a lemon ; what was the cost ...
Page 6
... bought a horse , a cow , and a calf , for 70 dollars ; the cow cost three times as much as the calf , and the horse twice as much as the cow ; what was the cost of each ? 9. Susan bought an apple , a lemon , and an orange , for 16 cents ...
... bought a horse , a cow , and a calf , for 70 dollars ; the cow cost three times as much as the calf , and the horse twice as much as the cow ; what was the cost of each ? 9. Susan bought an apple , a lemon , and an orange , for 16 cents ...
Page 6
... bought 5 apples and 3 peaches for 22 cents ; each peach cost twice as much as an apple ; what was the cost of each ? 4. William bought 2 oranges and 5 lemons for 27 cents ; each orange cost twice as much as a lemon ; what was the cost ...
... bought 5 apples and 3 peaches for 22 cents ; each peach cost twice as much as an apple ; what was the cost of each ? 4. William bought 2 oranges and 5 lemons for 27 cents ; each orange cost twice as much as a lemon ; what was the cost ...
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Common terms and phrases
added algebraic quantities apples arithmetical progression arithmetical series binomial bushels called cents a piece coefficient common difference complete equation Completing the square denotes Divide the number dividend division dollars entire quantity equal exactly divide exponent expression extract the square find the greatest Find the product Find the square Find the sum find the value following examples fourth fraction geometrical progression geometrical series Give an example greater greatest common divisor Hence last term least common multiple lemon letter minus monomial negative quantities number of terms peaches perfect square polynomial positive quantity pound of coffee preceding prime factors principle proportion pupil quan question quotient ratio Reduce remainder represent the cost represent the number required the numbers required to find result rule second degree solution square root subtracted theorem three numbers tion tities transposing unknown quantity whole number
Popular passages
Page 100 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Page 22 - Required the distance from A to B, from B to C, and from C to D.
Page 176 - Multiply the divisor, thus increased, by the last figure of the root; subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Page 136 - In any proportion, the product of the means is equal to the product of the extremes.
Page 122 - A hare is 50 leaps before a greyhound, and takes 4 leaps to the greyhound's 3 ; but 2 of the greyhound's leaps are equal to 3 of the hare's ; how many leaps must the greyhound take to catch the hare ? Let x be the number of leaps taken by the hound.
Page 62 - The square of the sum of two quantities is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second.
Page 78 - To find the greatest common divisor of three or more quantities, first find the greatest common divisor of two of them ; then, of that divisor and one of the other quantities, and so on. The last divisor thus found, will be the greatest common divisor sought.
Page 59 - 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 137 - A farmer has 2 horses, and a saddle worth 25 dollars ; now, if the saddle be put on the first horse, his value will be double that of the second ; but, if the saddle be put on the second horse, his value will be three times that of the first.
Page 219 - The fore wheel of a carriage makes 6 revolutions more than the hind wheel in going 120 yards; but if the periphery of each wheel be increased one yard, it will make only 4 revolutions more than the hind wheel in the same space.