A school algebra to quadratic equations1875 |
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Page 55
... bought 200 lbs . of tea , and 1000 lbs . of sugar ; the price of the sugar being one - sixth that of the tea . He sold the tea at a profit of 40 per cent . , and the sugar at a loss of 2 per cent .; gaining on the whole £ 9 9s . 7d ...
... bought 200 lbs . of tea , and 1000 lbs . of sugar ; the price of the sugar being one - sixth that of the tea . He sold the tea at a profit of 40 per cent . , and the sugar at a loss of 2 per cent .; gaining on the whole £ 9 9s . 7d ...
Page 56
... Bought 40 lbs . of sugar , of two sorts , for £ 1 5s . 4d . The better sort was worth 10d . a lb. , and the worse , 7d . How much was there of each sort ? How much of each sort should be taken to make a mixture of 30 lbs . , worth 7 d ...
... Bought 40 lbs . of sugar , of two sorts , for £ 1 5s . 4d . The better sort was worth 10d . a lb. , and the worse , 7d . How much was there of each sort ? How much of each sort should be taken to make a mixture of 30 lbs . , worth 7 d ...
Page 68
... bought a house , A's outlay ex- ceeding B's by £ 400 ; if A's house had cost half of what it did his outlay would have been £ 600 less than B's : what did each house cost ? Let x = cost of A's house ; and y = cost of B's . Then by the ...
... bought a house , A's outlay ex- ceeding B's by £ 400 ; if A's house had cost half of what it did his outlay would have been £ 600 less than B's : what did each house cost ? Let x = cost of A's house ; and y = cost of B's . Then by the ...
Page 71
... Bought 40 lbs . of sugar of two different sorts for £ 1 5s . 4d . The better sort cost 10d . and the worse 7d . a pound . How many pounds were there of each sort ? 6. A pound of tea and 4 lbs . of sugar cost 5s . 2d . If tea rose 20 per ...
... Bought 40 lbs . of sugar of two different sorts for £ 1 5s . 4d . The better sort cost 10d . and the worse 7d . a pound . How many pounds were there of each sort ? 6. A pound of tea and 4 lbs . of sugar cost 5s . 2d . If tea rose 20 per ...
Page 82
... bought some sheep for £ 72 , and found that if he had received six more for the same money he would have paid £ 1 less for each . How many sheep did he buy ? Let x = number of sheep bought , 72 Then = price of each . XC Also x + 6 ...
... bought some sheep for £ 72 , and found that if he had received six more for the same money he would have paid £ 1 less for each . How many sheep did he buy ? Let x = number of sheep bought , 72 Then = price of each . XC Also x + 6 ...
Common terms and phrases
a+b+c a²-b² a²+ab+b² a²+b² added adfected quadratic Algebra Arithmetic bought cent changing their signs clearing off fractions complete the square compound expressions cost difference Ditto Divide the number dividend division divisor eliminate equa equal equation containing examples exceeds EXERCISE extract the square factors feet Find the numbers florins following rule gallons greatest common measure half-crowns half-guineas Hence least common multiple methods miles per hour minuend number sought numerator and denominator numerical value obtained PROBLEMS proceed quadratic equation quotient remainder Remove the brackets Required the number rule of signs second term sheep shillings simple equations SIMULTANEOUS EQUATIONS Solve the equations Solve the following square root subtracted sugar suppose symbols terms containing third Transpose twice the product unknown quantities write written x+1 x+2 yards
Popular passages
Page 91 - A vintner sold 7 dozen of sherry and 12 dozen of claret for 50/., and finds that he has sold 3 dozen more of sherry for 10/. than he has of claret for 6/. Required the price of each.
Page 28 - I. 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 28 - The square of the difference of two quantities is equal to the square of the first minus twice the product of the first by the second, plus the square of the second.
Page 28 - ... the product of the two, plus the square of the second. In the third case, we have (a + b) (a — 6) = a2 — b2. (3) That is, the product of the sum and difference of two quantities is equal to the difference of their squares.
Page 69 - There is a certain number, consisting of two places of figures, which is equal to four times the sum of its digits ; and if 18 be added to it, the digits will be inverted; what is the number? Ans. 24.
Page 73 - ... 7. A person walking along the road in a fog meets one waggon and overtakes another which is travelling at the same rate as the former. and he observes that between the time of his first seeing and passing the waggons, he walks 20 yds. and 60 yds.
Page 43 - ... start at the same time, from the same place, and travel in opposite directions, what will represent their distance apart at the end of 1 day ? of 2, 3, 4, 5 days ? ART.
Page 44 - Divide the greater number by the less, the divisor by the remainder, and thus continue to divide the last divisor by the last remainder until there is no remainder ; the last divisor will be the greatest common divisor.
Page 34 - Any term may be transposed from one side of an equation to the other by changing its sign.
Page 3 - Quantities having the same sign are said to have like signs ; those having different signs are said to have unlike signs.