SOLUTION: A carton contains k boxes of paper cups and each box contains 100 paper cups. If the carton cost d dollars. what is the cost per paper cup in cents? A) kd B) k/d C) d/1

Algebra ->  Expressions -> SOLUTION: A carton contains k boxes of paper cups and each box contains 100 paper cups. If the carton cost d dollars. what is the cost per paper cup in cents? A) kd B) k/d C) d/1      Log On


   



Question 1043373: A carton contains k boxes of paper cups and each box contains 100 paper cups. If the carton cost d dollars. what is the cost per paper cup in cents?
A) kd
B) k/d
C) d/100k
D) 100k/d

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
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%2F%28100k%29. This is the cost per paper cup in dollars. In other words, it's the cost of a single cup. Again, this is in dollars

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%2Fk cents

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