A pint is 16 oz. How would you write an inequality that represents the number of pints of sparkling water, p, that can be poured into a 250-oz. punchbowl without completely filling it? Include p on the left side of the inequality, and do not solve the inequality. (1 point)
16p < 250
To represent the number of pints of sparkling water, p, that can be poured into a 250-oz. punchbowl without completely filling it, you can use the following inequality:
p < 250 / 16
Here, 250 represents the total capacity of the punchbowl in ounces, and 16 represents the number of ounces in a pint. By dividing the total capacity of the punchbowl by the number of ounces in a pint, you find the maximum number of pints that can be poured without completely filling the punchbowl.
To write the inequality representing the number of pints of sparkling water, p, that can be poured into a 250-oz. punchbowl without completely filling it, we first need to convert the given quantities to the same unit of measure. Since we are given that a pint is equal to 16 oz, we need to convert the punchbowl capacity to pints.
To convert 250 oz to pints, we divide by the conversion factor of 16 oz/pint:
250 oz รท 16 oz/pint = 15.625 pints
Now that we have the punchbowl capacity in pints, we can set up the inequality. Since we want to pour a number of pints, p, into the punchbowl without completely filling it, the inequality we can write is:
p < 15.625