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Total number of donuts sold and given away in a week =K =(K/2 + K/2)=(sold + free)
cost of each donut =$0.25
no of free donuts in a week= 0.25*K/2=K/8
in 8 weeks time 8*K/8 =K
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Bunuel
During an eight-week period, a doughnut store conducted a promotion by giving away one free doughnut with every doughnut purchased. If the store sold and gave away a total of K doughnuts per week, and each doughnut sold for $0.25, how many dollars worth of doughnuts did the store give away?

A. K/8
B. K/4
C. K
D. 3K/2
E. 6K

in one week \(\frac{k}{2}\) doughnuts are given away because the question prompt says that the promotion gives away one doughnut for every doughnut purchased so if \(K\) doughnuts per week is inclusive of the number of given away and sold then \(\frac{k}{2}\) doughnuts were given away in a week and \(\frac{k}{2}\) doughnuts were sold in a week.

in one week
\(0.25*\frac{k}{2}\) dollars worth of doughnuts were given away
\(= \frac{k}{8}\) dollars worth of doughnuts given away in one week

the question mentions an 8 week period so
\(8*\frac{k}{8}\)
\(= k\) dollars worth of doughnuts were given away during the period

thus answer is C
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