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Real-Life Math

Your company has been hired to design a fragrance for a household cleaning product. The fragrance you've come up with has a pleasing pine scent, with a hint of lemon.

You need to test the fragrance by mixing it with the base (the cleaning liquid). However, your fragrance is mostly oil. The base is mostly water. As everyone knows, oil and water don't like to mix.

You need to add something to the fragrance to make it soluble. The chemical you will add is called a solubilizer. It needs to be mixed at the ratio of 2 parts solubilizer to 1 part fragrance.

You have 1.5 kilograms of the base (the cleaning liquid). For the scent to be the right strength, the amount of fragrance you need to add is 6 percent of the amount of base. (Note: assume the base, fragrance and solubilizer weigh the same relative to volume.)

How much fragrance (by weight) will be added to the base?

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