1. A carton contains b boxes of paper plates, and each box contains n plates. If the carton costs c dollars, what is the cost per paper plate, in dollars, when the plates are bought by the carton?

a. cbn
b. c/bn
c. bn/c
d. cn/b
e. n/cb

I do not know which. I got something like c=bn, but that is clearly not one of the choices.Help/explanation?

The cost of a carton according to problem = c

Total number of plates = bn
Thus the cost per plate is,
c / bn

hope this helps` `u`

To find the cost per paper plate when the plates are bought by the carton, we need to determine the total cost of purchasing the carton and then divide it by the total number of plates.

Let's break down the given information:
- The carton contains b boxes of paper plates.
- Each box contains n plates.
- The cost of the carton is c dollars.

Now, we need to find the total number of plates in the carton. Since there are b boxes, and each box contains n plates, we multiply b by n to get the total number of plates: total plates = b * n.

Next, we divide the cost of the carton, c, by the total number of plates, bn, to calculate the cost per plate: cost per plate = c / (b * n).

Now, let's match the expression we derived with the given choices:
a. cbn
b. c/bn
c. bn/c
d. cn/b
e. n/cb

In our derived expression, the numerator is c, the denominator is b * n, and we have a division between them. The only option that matches our derived expression is b. c/bn, which gives us the cost per plate when the plates are bought by the carton.

Thus, the correct answer is b. c/bn.