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Question 176665: A reduced fat cookie contains 2g of fat per serving. In order for food to be termed 'reduce fat', it must have at least 15% less fat than the regular item. What can you conclude about how much fat is in a serving of the regular cookie?
Answer by gonzo(654)   (Show Source):
You can put this solution on YOUR website! let x be the fat in the original cookie.
let y be the fat in the reduced fat cookie.
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the reduced fat cookie must have at least 15% less fat than the original cookie.
since (1-.15) = .85, this means that the maximum amount of fat in the reduced fat cookie is 85% of the amount of fat in the original cookie.
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since x is the fat in the original cookie, then
y = .85*x would be the maximum amount of fat in the reduced fat cookie.
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since the reduced fat cookie has 2 grams of fat in it, this equation becomes:
2 = .85*x
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solving for x, we get:
x = 2/.85 = 2.352941176471 grams of fat in the original cookie.
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so x = 2.352941176471 grams of fat is the minimum amount of fat in the original cookie, since the reduced fat cookie has 2 grams of fat in it.
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we can conclude that the original cookie has at least 2.352941176471 of fat in it.
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