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To find the amount of onion needed to make 96 cups of salsa, we first need to find the total parts in the extended ratio: 2 + 5 + 9 = 16 parts.
Next, we need to find the number of parts that represent onions in the extended ratio: 5 parts.
Now we can set up a proportion to find the amount of onion needed:
5 parts / 16 parts = x cups / 96 cups
Cross multiply to solve for x:
5 * 96 = 16x
480 = 16x
x = 30
Therefore, 30 cups of onion are needed to make 96 cups of salsa.