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CHAPTER VI-MIXED PROBLEMS.
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dividing the various amounts of interest by their corresponding periods of time. Thus the varioue capital amounts happen to bo found ont.
Examples in illustration thereof.
• 40. (Sums represented by) 10, 6, 3 and 15 are the (various given) amounts of interest, and 5, 1, 3 and 6 are the corresponding) months (for which those amounts of interest have accrued); the mixed sum of the corresponding) cupital amounts is soen to be 140. (Find out these capital amounts.)
41. The (various) amounts of interest aro 2, 6, 10, 16 and 30; (the corresponding periods of time are) 5, 6, 7, 8 and 10 months ; 80 is the mixed sum (of the various capital amounts lent out. What are those amounts rospectively ?)
Tho rule for arriving separately at the various periods of timo from their given mixed sum :
42. Let the quantity representing tho mixod sum of tho (various) periods of time be diviiled by the sum of those (various quotients) obtained hy dividing the various amounts of interest by their corresponding capital amounts; and (then) let the (rcaulting) quotient bomultiplied (separately by cach of the abovomentioned quotients). (Thus) tho (various) periods of time happon to be found out.
An erample in illustration thereof.
43. Here, (in this problem,) the (gives) capital amounts aro 40, 30, 20 and 50 ; and 10, 6, 3 and 15 are tho (corresponding) amounts of interest; 18 is the quantity representing the mixed sum of tho (respoctive) periods of time (for wbich intorest has accrued. Find out these periods of timno separately).
42. Symbolically,--.
" = 1., where m=t,+ +,+to+&o.
C1 C CH 3imilarly tz, ts, etc., may be found out.
