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CHAPTER VI-MIXED PROBLEMB.
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Examples in illustration thereof. 981. Four men obtained their shares in successively doubled proportions and with successively doubled differences in addition, the first mon obtaining one share : 67 is the quantity so to be distributed) here. What is the share of cach?
991. (A sum of) 78 is divided in these four (nmong themselves) in proportions which are successively from the frst 11 times (what preceden) and with differences (in addition, which,) commencing with 1, (go out increasing three-fold. Give ont the (valne of tho) parts obtained by sach.)
1001. The shares of fire (persony) are (nuccessively) from the first 11 times (what goes before), and the differences in audition sro quantities which are (necessive)?times the preceding tifference)
514 is (the total quantity) to be divided. Find out the values of • the portions obtained by cach.)
. 101. A sum of) 400 winux 15 is divided by four men (among themselves) in proportions which from the first are 24 timos (what preceden), and which besides) aro luns by differences which are (MucocoHively) 4 times (the preceding difference). (Pind out the values of the various portions obtained.)
The rule for arriving at the value of the pricos produing equal salo-pro-code and at the value of the highest capital (invented in the transactions concerned):
1023. The largost capital investoid) combined with one bocomes the vending rate of the commodity to be sold). Tont (same vending rate), multiplied by the (riven) price at which the remuant is to be sold, and diminished by one, gives rise to the
98. The difference untity to be added to the hun brin I in the case of the second man, and twire the green ling cliff-riner in the case of schrif the remaining two men; In this difference in the care of the MUCond men in act ""preonly mentioned 11 l in this complete well as in the tuinplo in tanzu 10).
1027. The examples bearing on this rule contemplate the purchase of . commodity at a certain common rate for various capital Amount; then the coinmoility so purchased is to be sold # certain other common rute. That quantity of the couumolity which is left wver, owing to its nt beingrayli to bo sold for a unit of the kind of muney employed in the traductiou, io horo
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