To determine the smallest number of gallons you would need to buy to have a whole number of cents, we need to understand the relationship between gallons and cents.
1 gallon is equal to 128 fluid ounces. To convert gallons to cents, we need to know the price per gallon in cents. Once we have the price per gallon, we can divide it by 128 to find the price per fluid ounce.
For example, let's say the price per gallon is $3.50, or 350 cents. To find the price per fluid ounce, we divide 350 by 128:
350 cents / 128 fl oz = 2.734375 cents/fl oz
Now, we need to find a whole number of cents using this price per fluid ounce. In this case, the closest whole number of cents we can reach is 2 cents. To achieve this, we divide 1 cent by the price per fluid ounce:
1 cent / 2.734375 cents/fl oz ā 0.366 fl oz
Therefore, you would need to buy at least 0.366 fluid ounces (which is less than 1 gallon) to have a whole number of cents using this price per gallon.
To generalize this process, you would need to divide 1 cent by the price per fluid ounce to find the amount of fluid ounces required to reach a whole number of cents. Keep in mind that this calculation will vary depending on the price per gallon you are given.