35* ALGEBRA. 



Let Ar=: number of eggs of each sort. 



X 



Then will — == price of the first sort, 

 X 



And — rr price of the second sort. 

 But 5 : % x; 2x (the whole number of eggs) : — ^ 

 Thcrefors — price of both sorts together, at 5 for ad, 



A? ^ 4X 



And 1 = 4 by the question ; 



235 ^ 



That IS, AT-i = 8 ; 



3 5 



Or 3A;-f-2^ = 24, 



Or I 5a;-}- 10^ — 24^;= 120 ; 

 Whence Ariz: 120= number of eggs of each sort required, 



10. A can do a piece of work alone in ten days, and B 

 in thirteen •, if both be set about it together, in what time 

 will it be finished ? 



Let the time sought be denoted by x, 



X 



Then i o days : i .work : : x days : 7- , 



X 

 And 13 days : i work : : x days : — , 



; Hence — :rz part done by A m ;v days 5 



10 



And — = part done by B in re days. 

 X X 



Consequently, j rz i 5 



^ 10 13 



That 



