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Σελίδα 63
... bought 12 sheep for £ 10 . 12s .; for part of which he gave 23s . a head , and for the rest 15s . a head . Required the number of each . Let x the number at 23s . a head ; then 23a their price in shillings ; also , 12 - x = the number ...
... bought 12 sheep for £ 10 . 12s .; for part of which he gave 23s . a head , and for the rest 15s . a head . Required the number of each . Let x the number at 23s . a head ; then 23a their price in shillings ; also , 12 - x = the number ...
Σελίδα 65
... Bought two pieces of cloth , which together mea- sured 70 yards , for £ 49 . 10s .; I gave 15s . per yard for one piece , and 12s . per yard for the other ; this latter piece being damaged I returned it . How much had I to pay ? Let x ...
... Bought two pieces of cloth , which together mea- sured 70 yards , for £ 49 . 10s .; I gave 15s . per yard for one piece , and 12s . per yard for the other ; this latter piece being damaged I returned it . How much had I to pay ? Let x ...
Σελίδα 66
... bought a hive of bees for £ 1 ; A 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 ...
... bought a hive of bees for £ 1 ; A 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 ...
Σελίδα 68
... Bought four pieces of cloth , which together mea- sured 100 yards ; the second was twice , the third three times , and the fourth four times as long as the first . Required the length of each piece . Ans . 10 , 20 , 30 , and 40 yards ...
... Bought four pieces of cloth , which together mea- sured 100 yards ; the second was twice , the third three times , and the fourth four times as long as the first . Required the length of each piece . Ans . 10 , 20 , 30 , and 40 yards ...
Σελίδα 69
... bought a certain number of oranges at five for two pence , and afterwards sold one half of them at two for a penny , and the remainder at three a penny , and by so doing gained four pence . How many oranges were bought ? Ans . 240 . 23 ...
... bought a certain number of oranges at five for two pence , and afterwards sold one half of them at two for a penny , and the remainder at three a penny , and by so doing gained four pence . How many oranges were bought ? Ans . 240 . 23 ...
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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...
Σελίδα 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.
Σελίδα 13 - In any proportion, the product of the means is equal to the product of the extremes.
Σελίδα 13 - Composition, when the sum of the first and second is to the second as the sum of...
Σελίδα 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.