A movie theater ticket booth opens at 10 am. There are four tellers who divide the customers evenly. The tellers have served 16 customers so far this morning. which expression represents the unknown number of customers each teller will serve? Let c represent the additional number off customers.
a: 16 + c divided by 4
b: 4(16 + c)
c: c - 16 divided by 4
d: 16c divided by 4
unserved customers: c-16
tellers available: 4
so, (c-16)/4
To find the expression that represents the unknown number of customers each teller will serve, let's break down the information given.
We know that there are four tellers and they have served a total of 16 customers so far. To divide the customers evenly among the tellers, we need to find the number of additional customers each teller will serve.
Let's set up an equation for this:
(Number of customers served so far) + (Number of additional customers each teller will serve) = (Total number of customers)
In this case, the number of customers served so far is 16, and the total number of customers equals the unknown number of customers each teller will serve (represented by c) multiplied by the number of tellers (4): 4c.
So the equation becomes:
16 + c = 4c
Now we can solve for c by isolating it on one side of the equation:
16 = 4c - c
Combining like terms gives us:
16 = 3c
To get c by itself, we divide both sides of the equation by 3:
16/3 = c
So, the expression that represents the unknown number of customers each teller will serve is c = 16/3.
Based on the answer choices given, none of them directly represent c = 16/3. However, we can rewrite the answer choices to match the equation we derived.
a: 16 + c divided by 4 --> (16 + c) / 4
b: 4(16 + c) --> 64 + 4c
c: c - 16 divided by 4 --> (c - 16) / 4
d: 16c divided by 4 --> 4c
None of the answer choices match exactly, but the closest one would be d: 16c divided by 4, which simplifies to 4c.