14® ARI'THMETie. 



time they find they have 'gained 526I. wIiul ib catjh man'tj 

 just share ? Ans. A 192L i(;s. od. -~-y ., 



B 3331.0S. iiid.-'^; 



4. A, with a capita] of loool. began trade. January 1, 

 1776, and meeting with success in business he took in B as 

 -a partner, with a capital of 1500I. on the first of March 

 following. Three months after that they -admit C as a 

 third partner, who brought into stock aSooL'and after 

 trading together till the first of the qext year, they find, 

 there has been gained since A's commencing business, 

 1776L los. flow must this be divided among the partners ? 



Ans. A 45 7I. 93. /^~d. 

 B 57 iL 163. 8^d. 

 C 747I. 3s. 11^4. 



ALLIGATION. 



Alligation teaches how to mix several simples of dif- 

 ferent qualities, so that the composition may be of a mid- 

 dle quality ; and is commonly distinguished into two prin- 

 cipal cases, called Alji^i^tion nicdial and AH'igation alternate* 



ALLIGATION MEDL4L. 



Alligation medial is the method of finding the rate of the 

 compound, from having the rates and quantities of the sev- 

 eral simples giycn. 



* RULE.* 



Multiply each quantity by its rate" ; then divide the sum 

 of the products by the sum of the quantities, or the whole 



conipositian, 



* The truth of this rule is too evident to netd a demonstration. 

 Note. If an ounce or any other qiiMctity of pure gold be re- 

 duced into 24 equal parts, these parts are cuiicd carats ; but gold 



