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) (Show Source):
Multiply both parts (the "1 box" and "100 paper cups") by k to get
k boxes have a total of 100*k cups
---------------------------------------
We have 100*k cups where k is some whole number. Divide the cost (d) by the total number of cups (100k) to get . 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 cents
Note: Unfortunately the answer isn't listed. Your teacher may have made a typo.