The number of batches Nathaniel can make is 16.5 batches.
Nathaniel plans to make use of less than 40 cups of flour and he has already used 6 cups of flour. In order to determine how many batches he can make, we have to determine the number of cups of flour he can use. The cups of flour would be divided by the amount of flour that can be used to make a batch of muffins.
Maximum amount of flour Nathaniel can use = 39 - 6 = 33
Number of batches he can make = 33 / 2 = 16.5 batches
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So,
If she keeps one-fourth for herself, she will keep:
72 * 0.25 = 18
That leaves the rest for her friends.
72 - 18 = 54
Her friends will get 54 "Suites."
(17.5)(x)=125
Divide each side by 17.5 leaving the equation as x=7.14