348 ALGEBRl. 



That is, p^^zriooo-— ;vX7=:7ooo— ^7« 

 Or 16.VZZ7000, 



7000 

 Whence xzp — 7-~437l. los. —first share. 



And 1000 — ;vzi: 1 000— 43 7I. los. z=z 562!. los. 26. share, 



5. The paving of a square at 2s. a yard cost as much 

 as the inclosing of it at 5s. a yard ; required the side of 

 the square. 



Let X equal side of the square sought. 

 Then 4^v= yards of inclcsure, 

 And ^-^ in yards of pavement ; 

 Whence 4A;X5rz:2oA; equal price of inclosing, 

 And .v^XanaA^* equal price of paving. 

 But 2X^ z=2oxhY the question, 

 Therefore, x^zzii ox, and a- = i o = length of the side 

 required. 



6. A labourer engaged to serve for 40 days upon tiiese 

 conditions, that for every day he worked he should receive 

 2od. but for every day he played, or was absent, he was 

 to forfeit 8-d. ; now at the end of the time he had to re- 

 ceive il, IIS. 8d. The question is to find how many days 

 he worked, and how many he was idle. , 



Let X be the number of days he worked. 

 Then will 40 — x be the number of days he was idle ; 

 Also *Y X20 = 2oa; = sum earned. 



And 4c — X X 8 = 3 20 — 2x = sum forfeited. 



Whence 2oa: — 320 — 8A:=:38od. (-zii. lis- 8d.) by the 

 question, that is, 20;; — 32c-j-8/v= 380, 

 Or 28;c= 380-1-320 = 700, 

 And Ar=z VV ~ ^5^^ number of days he worked. 

 And 40-- ;v = 4o — 25=15— number of days he was^ 

 idle. 



7. Out 



