522 ^ ARITHMETIC, 



Suppose 4 yards of tabby, value i6s. 

 Then she must have 4 yards of Persian, value 8 



Sum of their values 24 



So that the first error is + 4 



Again, suppose she had 3 yards of tabby at 12s. 

 Then she must have 5 yards of Persian at i o 



Sum of their values 22 



So that the second error is -|~ ^ 



Then 4 — 2n:2zz: difference of the errors. 



Also 4X.2z:zSzz product of the first supposition and 

 second error. 



And 3X41:^12^1 product of the second supposition by 

 the first error. 



And 12 — 8zz4zr their difference. 



Whence 4-4- 2ZZ2Zi: yards of tabby, ? , 



A J o ~/c J r r» • ^ > uiQ answer. 



And 8 — 2 = 0= yards of Persian, 3 



2. Two persons, A and B, have both the same income j 

 A saves y of his yearly ; but B, by spending 50I. per an- 

 num more than A, at the end of 4 years finds himself 

 locl. in debt :^ what is their income, and what do they 

 spend per annum ? 



Ans. Their income is 125I. per annum; A spends lool. 

 and B 150I. per annum. 



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

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

 is now double that of B : vi^hat did each lay out ? 



Ans. 3ooh 



4. A labourer was hired for 40 days, upon this condi- 

 tion, that he should receive 2od. for every day he wrought, 

 and forfeit lod. for every day he was idle j now he receiv- 

 ed 



