An Elementary Treatise On Algebra Theoretical And Practical

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=890.
.-. 3a;+115 + 115 + 180=890, or 3a;+410=890; .•. by transposition, 3a;=890— 410, or 3a!=480, .•. ;r=160= least pait.
.-. «!+ 115 = 160+ 115=275= *econrf part.
and a!+115+l80z=160+115+180=455= greatest part.
Prob. 22. A prize of 2329 dollars was divided between two persons A and B, whose shares therein were in proportion of 5 to 12. What wa^ the share of each?' Let 5x=:A's share ; then 12a;=B's share ; .-. 5a'+12a;=2329, or 17a!=3329 ; anda;=137; .-.their shares were 685 and 1644 dollars r
...espectiyely.
Prob. 23. A fish was caught, whose tail weighed 91bs. ; his head weighed as much as his tail, and half his body ; and his body weighed as much as his heald and tail. What did the fish weigh 1 Let 2x— the number of lbs. the Ijpdy weighed ; then 9+it = the weight of the tail ; .-. 94-9-l-a:=2a;;.
by tr-ansposition, a;=: 18 ; .-. the fish weighed 36+27+9=72lbs.
Prob. 24. A hare, 50 of her leaps before a greyhound, takes 4 leaps to the gr^hound's three ; but two of the grey- hound's leaps are as much as three of the hare's.


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