Question 823633
{{{(12(9.07)+6(8.17))/(12+6)}}}, the dollars per pound of the mixture.


DISCUSSION FOR SOLUTION EXPRESSION
The numerator is the cost for the mixture, and the denominator is the amount of mixture, the sum of the quantities of the nuts.  The rational expression shown gives the ratio of DOLLARS to POUNDS for the mixture.  THAT is the price for the mixture.


The cost:  {{{12*pounds*(9.07)*(dollars/pound)+6*pounds*(8.17)(dollars/pound)=157.86}}} dollars


The pounds mixture:  {{{12*pounds+6*pounds=18}}} pounds


PRICE:  The cost of the mixture divided by the amount of the mixture, in this case, dollars per pound:
{{{157.86/18=8.77}}} dollars per pound