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Math Word Problem! Really need help?

A chef needs to mix a 45% fat content cheese with a 20% fat content cheese to obtain 30 grams of a cheese mixture that is 30% fat. How many grams of the 45% fat content are needed? (Round to the nearest whole number)

The answer choices are

18 grams

15 grams

12 grams

17 grams

None of the Above

I already know what the answer is, I just need to find out how do you get that answer

1 Answer

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    x = mass of 45% cheese

    y = mass of 20% cheese

    The two equations:

    x + y = 30

    (0.45)x + (0.20)y = (0.30)(30)

    x = 12, y = 18

    12 g of 45% cheese and 18 g of 20% cheese

    Answer: 12 grams

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