Question

A certain mixture of nuts contains cashews, almonds, and macadamia nuts. Each container must include three times as many almonds as cashews and twice as many cashews as macadamia nuts. If there are a total of 24 ounces in each container, how many ounces of cashews must be included?

Answer 1

A:C = 3:1
C:M = 2:1
A:C:M = 6:2:1
The proportion of cashews is 2/(6+2+1) = 2/9 of the mix. For 24 ounces, that is
.. (2/9)*(24 oz) = 5 1/3 oz . . . . . of cashews