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?
2 < .85x
Solve for x.
A reduced fat cookie contains 8 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?
A reduced fat cookie contains 2g 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?
To determine how much fat is in a regular serving of the cookie, we need to calculate the percentage reduction in fat for a reduced-fat cookie. According to the given information, a reduced-fat cookie contains 2g of fat per serving.
To qualify as "reduced fat," the reduced-fat cookie must have at least 15% less fat than the regular cookie. So, we can calculate the percentage reduction as follows:
Percentage Reduction = (Fat in Regular Cookie - Fat in Reduced-Fat Cookie) / Fat in Regular Cookie * 100
Let's plug in the given values:
Percentage Reduction = (Fat in Regular Cookie - 2g) / Fat in Regular Cookie * 100
Since the reduction must be at least 15%, we can set up the following equation:
15% = (Fat in Regular Cookie - 2g) / Fat in Regular Cookie * 100
To solve for the fat in a regular serving, we can rearrange the equation:
(Fat in Regular Cookie - 2g) / Fat in Regular Cookie = 0.15
Cross multiplying gives us:
Fat in Regular Cookie - 2g = 0.15 * Fat in Regular Cookie
Fat in Regular Cookie - 0.15 * Fat in Regular Cookie = 2g
0.85 * Fat in Regular Cookie = 2g
Dividing both sides of the equation by 0.85 gives us:
Fat in Regular Cookie = 2g / 0.85
Fat in Regular Cookie ≈ 2.35g
Therefore, we can conclude that a serving of the regular cookie contains approximately 2.35 grams of fat.