How many mugs with a capacity of 8 fluid ounces are needed to hold 68 fluid ounces of water?
Nine mugs with a capacity of 8 fluid ounces are needed to hold 68 fluid ounces of water.
To determine how many 8-ounce mugs are required to hold 68 ounces, divide the total fluid ounces by the capacity of one mug: 68 ÷ 8 = 8.5. Since you cannot have half a mug, you must round up to the next whole number, which is 9.
If only 5 mugs are used, the total capacity would be 5 x 8 = 40 fluid ounces. This is insufficient to hold 68 fluid ounces, indicating that more mugs are needed.
Using 6 mugs yields a total capacity of 6 x 8 = 48 fluid ounces. Similar to the previous option, this total is still not enough to accommodate 68 fluid ounces, requiring additional mugs.
Seven mugs would provide a total capacity of 7 x 8 = 56 fluid ounces. While this is more than 5 or 6 mugs, it still falls short of the required 68 fluid ounces, necessitating more mugs.
With 8 mugs, the total capacity reaches 8 x 8 = 64 fluid ounces. Although this is closer, it still does not meet the 68 fluid ounces needed, meaning at least one more mug is necessary.
To effectively hold 68 fluid ounces of water using mugs with an 8-ounce capacity, a total of 9 mugs must be utilized. The calculations demonstrate that any fewer mugs would result in insufficient capacity, affirming that nine is the minimum required to meet the demand.
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