Ray's Algebra, Part First: On the Analytic and Inductive Methods of Instruction, with Numerous Practical Exercises, Designed for Common Schools and Academies, Part 1 |
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Page 9
... bought a lemon and an orange for 10 cents , the orange cost four times as much as the lemon ; what was the price of each ? 7. In a store - room containing 20 casks , the number of those that are full is four times the number of those ...
... bought a lemon and an orange for 10 cents , the orange cost four times as much as the lemon ; what was the price of each ? 7. In a store - room containing 20 casks , the number of those that are full is four times the number of those ...
Page 10
... 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 11
... 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 12
... 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 13
... 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 ...
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Common terms and phrases
acre added algebraic quantities apples arithmetical progression arithmetical series binomial Binomial Theorem bought bushels coefficient common difference complete equation Completing the square cost Divide the number dividend division dollars entire quantity equal EQUATIONS CONTAINING exactly divide exponent expressed extract the square Find a number Find the cube Find the product Find the square Find the sum find the value following examples fraction geometrical progression geometrical series Give an example greater greatest common divisor Hence least common multiple lemons less number letter minus monomial negative quantity number of places number of terms oranges perfect square polynomial positive quantity preceding principle proportion pupil quan question quotient radical sign ratio reduced remainder represent the number required the numbers required to find result second degree second power solution solving square root three numbers tities Transposing twice unknown quantity whole number yards
Popular passages
Page 60 - 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. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Page 106 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Page 178 - 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 235 - In any proportion the product of the means is equal to the product of the extremes.
Page 124 - 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 217 - If, then, any problem furnishes an equation in which the known term is negative, and greater than the square of half the coefficient of the first power of the unknown quantity, we infer, that the conditions of the problem are incompatible with each other.
Page 64 - That is, 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 81 - The least Common Multiple of two or more quantities is the least quantity that will contain them exactly. Thus, 6 is the least common multiple of 2 and 3 ; and lOxy is the least common multiple of 2x and by. NOTE. — LCM stands for least common multiple.
Page 232 - If we compare the numbers 2 and 6, by the first method, we say that 2 is 4 less than 6, or that 6 is 4 greater than 2. If we compare 2 and 6 by the second method, we say that 6 is equal to three times 2, or that 2 is one third of 6.