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Hard GMAT Mixture and Ratio Quant Problem

<After the problem solution, there is a refresher on ratios if you would like to review it>


How should a grocer mix 4 types of peanuts, worth 54 cents, 72 cents, $1.2,0, and $1.44 respectively per pound, so that the grocer will make a total mixture which is 96 cents per pound?

(A) 8:4:4:7
(B) 24:12:12:50
(C) 4:8:9:4
(D) 16:42:28:10
(E) Cannot be determined