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...A reduced fat cookie contains 4 g of fat per serving. In order for food to be termed 'reduced fat', it must have at least 20% less fat than the regular item. What can you conclude about how much fat is in a serving of the regular cookie?  and look at the pic

The problem states that a reduced fat cookie contains 4 grams of fat per serving, and that in order for it to be classified as "reduced fat," the cookie must have at least 20% less fat than the regular version.

We can solve this by following these steps:

1. Let the amount of fat in the regular cookie be \( x \) grams.
2. A 20% reduction in fat means the reduced fat cookie contains only 80% of the fat found in the regular version.
3. This can be written as:
   \[
   0.8x = 4 \text{ grams}
   \]
4. To find \( x \), we divide both sides of the equation by 0.8:
   \[
   x = \frac{4}{0.8} = 5 \text{ grams}
   \]
   
Thus, a serving of the regular cookie contains 5 grams of fat.

Would you like more details or clarification on any part of this? Here are 5 related questions you might explore:

1. How would the fat content change if the reduction was 30% instead of 20%?
2. Can you apply this same method to other food categories with different reduction percentages?
3. What if the reduced fat version had 6 grams of fat? What would be the regular fat content?
4. How do you calculate the percentage of fat reduction if both fat contents are known?
5. How would the equation change if the fat reduction was described as "less than" a percentage rather than "at least"?

**Tip**: When dealing with percentage problems, it helps to translate percentage reductions or increases into fractional changes (e.g., 20% reduction becomes 0.8).

A reduced fat cookie contains 4 g of fat per serving. In order for food to be termed 'reduced fat', it must have at least 20% less fat than the regular item. What can you conclude about how much fat is in a serving of the regular cookie?

Solve the problem of determining how much fat is in a serving of a regular cookie if the reduced-fat version contains 4 grams of fat and has at least 20% less fat than the regular version. Suitable for students in Grades 6-8.

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