The student's algebra |
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Page 66
... paid one third , B one fourth , C one fifth , and D one sixth . How much did each pay of the 20s . ? then Let the sum A paid in shillings ; 1 1 3 1 3 . • 3x x : 4 3x = the sum B paid in shillings , the sum C paid in shillings , 3 • 1 x ...
... paid one third , B one fourth , C one fifth , and D one sixth . How much did each pay of the 20s . ? then Let the sum A paid in shillings ; 1 1 3 1 3 . • 3x x : 4 3x = the sum B paid in shillings , the sum C paid in shillings , 3 • 1 x ...
Page 69
... the sum and rate per cent . Ans . £ 288 , at 5 per cent . 26. Four merchants , A , B , C , and D , entered into partnership , by which they gained a certain sum ; of G the gin 15s . per gallon ; and he paid ONE UNKNOWN QUANTITY . 71.
... the sum and rate per cent . Ans . £ 288 , at 5 per cent . 26. Four merchants , A , B , C , and D , entered into partnership , by which they gained a certain sum ; of G the gin 15s . per gallon ; and he paid ONE UNKNOWN QUANTITY . 71.
Page 70
... paid £ 4 . 10s . more for the brandy than for the gin . Required the content of each cask in gallons . Ans . 20 gallons of brandy , and 34 of gin . \ 14. The perimeter of a triangle is 35 chains ; the base is 7 chains longer than one ...
... paid £ 4 . 10s . more for the brandy than for the gin . Required the content of each cask in gallons . Ans . 20 gallons of brandy , and 34 of gin . \ 14. The perimeter of a triangle is 35 chains ; the base is 7 chains longer than one ...
Page 73
... paid in half guineas and crowns , and the number of pieces used of both sorts was 90. How many were there of each ? Ans . 50 half guineas , and 40 crowns . 33. Two persons , A and B , have each the same annual income ; A saves one fifth ...
... paid in half guineas and crowns , and the number of pieces used of both sorts was 90. How many were there of each ? Ans . 50 half guineas , and 40 crowns . 33. Two persons , A and B , have each the same annual income ; A saves one fifth ...
Page 95
... paid twice as much for the brandy as for the rum . Had he bought as many bottles of brandy as he bought of rum , and as many bottles of rum as he bought of brandy , he would only have paid 5s . more for the rum than for the brandy . How ...
... paid twice as much for the brandy as for the rum . Had he bought as many bottles of brandy as he bought of rum , and as many bottles of rum as he bought of brandy , he would only have paid 5s . more for the rum than for the brandy . How ...
Common terms and phrases
5th power added Algebra Algebraist answer the conditions arithmetical progression axiom bushels coefficient completing the square compound quantity cube root denominator difference digits dividend divisor equa EXAMPLES FOR PRACTICE extracting the root extracting the square find the values Find two numbers four numbers four quantities fourth power gained gallons geometrical progression given equation hence least common multiple lues miles multiplying this equation number of yards Pure Quadratics QUADRATIC EQUATIONS quan quantities be proportionals question quired quotient radical sign ratio remainder Required each person's Required the cube Required the length Required the number Required the price Required the sides Required the square second equation second term shillings Simple Equations simple quantity sold solution square root squaring each side substituting this value subtracted surd quantity Theorem third three numbers transposing transposition unknown quantity values of x vulgar fraction whence whole number yards of silk
Popular passages
Page 13 - If four magnitudes are in proportion, the sum of the first and second is to their difference as the sum of the third and fourth is to their difference.
Page 11 - Ratio is the relation which one quantity bears to another in respect of magnitude, the comparison being made by considering what multiple, part, or parts, one is of the other.
Page 14 - If any number of quantities are proportional, any antecedent is to its consequent as the sum of all the antecedents is to the sum of all the consequents. Let a : b = c : d = e :f Now ab = ab (1) and by Theorem I.
Page 79 - Prob. 3. Find two numbers, the greater of which shall be to the less, as their sum to 42 ; and as their difference to 6.
Page 13 - If the first magnitude be the same multiple of the second that the third is of the fourth, and the fifth the same multiple of the second that the sixth is of the fourth...
Page 40 - Sib., his head weighs as much as his tail and half his body, and his body weighs as much as his head and his tail ; what is the whole weight of the fish ? . Aas.
Page 13 - In any proportion, the product of the means is equal to the product of the extremes.
Page 13 - Composition, when the sum of the first and second is to the second as the sum of...
Page 80 - A farmer with 28 bushels of barley at 2s. 4d. per bushel, would mix rye at 3 shillings per bushel, and wheat at 4 shillings per bushel, so that the whole mixture may consist of 100 bushels, and be worth 3s. 4d. per bushel. How many bushels of rye, and how many of wheat must he mix with the barley ? Ans.