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Answer :
Using the principle of direct variation and setting up a proportion, the maximum amount of fat that a person weighing 180lb should have per day is 120 grams.
The question posed involves a direct variation between the maximum amount of grams of fat that should be in a diet and a person's weight. Given the information that a person weighing 135lb should have no more than 90g of fat per day, we can set up a proportion to find the maximum number of grams of fat for a person weighing 180lb:
Fat for 135lb: Fat for 180lb = 135lb: 180lb
90g: Fat for 180lb = 135lb: 180lb
To solve for the maximum amount of fat for a 180lb person, we cross-multiply and solve for the unknown:
90g \/ 135lb = Fat for 180lb \/ 180lb
Fat for 180lb = (90g * 180lb) \/ 135lb
Fat for 180lb = 120g
Therefore, the maximum number of grams of fat that a person weighing 180lb should have per day is 120g.
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