Question 1043373
1 box has 100 paper cups


Multiply both parts (the "1 box" and "100 paper cups") by k to get


k boxes have a total of 100*k cups


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We have 100*k cups where k is some whole number. Divide the cost (d) by the total number of cups (100k) to get {{{d/(100k)}}}. This is the cost per paper cup in <font color=blue>dollars</font>. In other words, it's the cost of a single cup. Again, this is in <font color=blue>dollars</font>


To convert to cents, we multiply by 100


(cost per cup in dollars)*100 = cost per cup in cents
(d/(100k))*100 = 100d/100k = d/k


So the cost per cup is {{{d/k}}} cents


Note: Unfortunately the answer isn't listed. Your teacher may have made a typo.