Algebraical Problems Producing Simple And Quadratic Equations With Their Solut
Algebraical Problems Producing Simple And Quadratic Equations With Their Solut
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23. Some smugglers discovered a cave, which would exactly hold the cargo of their boat, viz. 13 bales of cotton, and 33 casks of rum. Whilst they were unloading, a custom-house cutter coming in sight, they sailed away with 9 casks and 5 bales, leaving the cave two-thirds full. How many baJes or casks would it hold ?
Let x = the number of bales, and y = the number of casks ; iL 13 33 then — -j- — =1, x y producing Simple Equations. 181 A 5 * 9 l and -+-=-. # # 3 Multiplying the first equation by... 3, and the second by 11, then 29 + 22 « s f and 5 J + 22 „ Li.
x y 3 /. By subtraction. — J X 2 "" 3 ; . \ 2 a: = 48, and a: = 24; sequently 9 y 1 3 7 and y 5 1 X " 3 = /2; 5 24 3 = 24 1 8 : and . *. The cave would hold 24 bales, or 72 casks.
•*■ *• *■•*■ *■•++**■*■+**■ 24. Round two wheels, whose circumferences are as 5 to 3, two ropes are wrapped, whose difference exceeds the difference of the circumferences by 280 yards. Now the larger rope applied to the larger wheel wraps round it a certain number of times, greater by 12 than the smaller round the smaller wheel ; and if the larger wheel turns round 3 times as quick as the other, the ropes will be discharged at the same time.
What to read after Algebraical Problems Producing Simple And Quadratic Equations With Their Solut?
You can find similar books in the "Read Also" column, or choose other free books by Miles Bland to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
23. Some smugglers discovered a cave, which would exactly hold the cargo of their boat, viz. 13 bales of cotton, and 33 casks of rum. Whilst they were unloading, a custom-house cutter coming in sight, they sailed away with 9 casks and 5 bales, leaving the cave two-thirds full. How many baJes or casks would it hold ?
Let x = the number of bales, and y = the number of casks ; iL 13 33 then — -j- — =1, x y producing Simple Equations. 181 A 5 * 9 l and -+-=-. # # 3 Multiplying the first equation by... 3, and the second by 11, then 29 + 22 « s f and 5 J + 22 „ Li.
x y 3 /. By subtraction. — J X 2 "" 3 ; . \ 2 a: = 48, and a: = 24; sequently 9 y 1 3 7 and y 5 1 X " 3 = /2; 5 24 3 = 24 1 8 : and . *. The cave would hold 24 bales, or 72 casks.
•*■ *• *■•*■ *■•++**■*■+**■ 24. Round two wheels, whose circumferences are as 5 to 3, two ropes are wrapped, whose difference exceeds the difference of the circumferences by 280 yards. Now the larger rope applied to the larger wheel wraps round it a certain number of times, greater by 12 than the smaller round the smaller wheel ; and if the larger wheel turns round 3 times as quick as the other, the ropes will be discharged at the same time.
What to read after Algebraical Problems Producing Simple And Quadratic Equations With Their Solut?
You can find similar books in the "Read Also" column, or choose other free books by Miles Bland to read onlineMoreLess
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