352 ALGEBRA. 



4. A bill of 120I.. was paid in guineas and moidores. 

 and the number of pieces of both sorts used was just 100 j 

 how many, were there of each ? Ans. 50 of eac}i. 



ij. Two travellers set out at the same time froni London 

 and York, whose distance is 150 milps i oht of then^i goes 

 $ miles a d^tf, and the other 7 ; in v/hat time will they 

 meet ? Ans. ic days. 



6. At a certain election 37^ persons voted, and the can- 

 didate chosen had a majority of 91 ; how many voted for 

 each ? Ans. 233 for one and 142 for the other. 



7. There is a fish, wliose tail weighs pib. his head 

 wifighs as much as his tail and half his body, and his body 

 weighs as much as his head and his tail ; what is the 

 whole weight of the fish ? Ans. 721b, 



8. What number is that, from which if 5 be subtracted, 

 •J of the remainder will be 40 ? Ans. 6^> 



9. A post is one fourth in the mud, one third in the wa- 

 ter, and I o feet above the water 5 what is its whole length ? 



Ans. 24 feeto 



10. After paying av/ay cn^ fourth and one fifth of my 

 money, I found 66 guineas left in my bag •, what was in 

 it at first ? Ans. 120 guineas. 



11. A's age is double that of B, and E's is triple that 

 of C, and the sum of all their ages is 140 ; what is the 

 age of each ? Ans. A's = 84, B's =2 42 and C's = 14. 



12. Two persons, A and B, lay out equal sums of money 

 in trade 5 A gains 126I. and B loses 87I. and A's money 



is now double that of E ; v/hat did each lay cut .? 



Ans. 300!. 



13. A person bought <i v^i.-i.^c, hoi'se and harness, for 

 6oh ; the horse came to twice the price of the harness, 



and 



