SOLUTION: A reduced fat cookie contains 4 grams of fat per serving. In order for food to be termed "reduced fat", it must have at least 15% less fat than the regular item. What can you con

Algebra ->  Graphs -> SOLUTION: A reduced fat cookie contains 4 grams of fat per serving. In order for food to be termed "reduced fat", it must have at least 15% less fat than the regular item. What can you con      Log On


   



Question 143533: A reduced fat cookie contains 4 grams of fat per serving. In order for food to be termed "reduced 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 Fruglemiester1234(13) About Me  (Show Source):
You can put this solution on YOUR website!
The main idea concerning this problem is percents. We have to use the information we already have, which is a number and a precent, to get us another number.
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First of all we have to realize that 15% is just 15 out of 100, or 15%2F100.
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Knowing this we can right a porportion.
4%2Fx+=+15%2F100
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Note: the 4 goes on the top of the porportion because 4 grams is the reduced amount of fat and is at least 15% of the normal amount of fat(x) that we are looking for.
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Now to solve the porportion we use cross multiplication. We get:
4%2A100+=+15x
400+=+15x
Then we divide both sides by 15 to get x by itself.
400%2F15+=+15x%2F15
26.67+=+x or 26_2/3 (80/3) to be exact
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x = 26.67 means that in order for the "reduced fat" cookie to be legally reduced fat the normal cookie has to have at least 26.67 grams of fat.
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This could also be written mathmatically like:
x+%3E=+26.67 or x+%3E=+80%2F3