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Question

Sharon bought a mixture of nuts that was made up of pecans, walnuts and cashews in a ratio by weight of 2:3:1, respectively. If she bought 9 pounds of nuts, how many pounds of walnuts were in the mixture? Express your answer as a decimal to the nearest tenth.

Accepted Answer

Since the pecan to walnut to cashew ratio is 2:3:1, it follows that the walnut ratio to all of the nuts is equal to 32+3+1 = 12. Thus, there were 12 9 = 4.5 pounds of walnuts in the mixture.