A worker at a frozen yogurt store has 512 pints of frozen yogurt to give to customers as samples. The worker places 14 cup of frozen yogurt in each sample. What is the maximum number of samples the worker can distribute if he uses all of the frozen yogurt?
To find the maximum number of samples the worker can distribute, we need to divide the total number of pints of frozen yogurt by the number of cups in each sample.
First, convert pints to cups. Since there are 2 cups in a pint, multiply the number of pints by 2:
512 pints * 2 cups/pint = 1024 cups
Now, divide the total number of cups by the number of cups in each sample:
1024 cups รท 14 cups/sample = 73.14 samples
Since we cannot have partial samples, we need to round down to get the maximum number of whole samples:
Maximum number of samples = Floor(73.14) = 73
Therefore, the worker can distribute a maximum of 73 samples if he uses all of the frozen yogurt.